Gladly. Thrawn's most powerful gun is his mind and knowledge about his opponent is the ammunition. His first instinct is going to be intel gathering. While Thrawn would recognize that he and his men hold a vast technological advantage iver the common thugs of Gotham, he would not use this as an excuse to simply take the city by force. This is for a few reasons.
1. He only has the crew of one Star Destroyer backing him here. Depending on the type of Star Destroyer, this can mean he has a minimum of 50,000 men. That's not enough to hold an entire city by any stretch.
2. The Rebel Alliance continues to pose a significant threat to the Empire in spite of comparably flimsy resources. Even Thrawn himself is no stranger to persevering in spite of being less equipped. The people of this city could potentially do the same.
3. He's going to nerd people to cooperate if he wants to turn the underworld into an army. Forceful occupation tends not to inspire that.
Instead, Thrawn is going to want to be subtle. Basic recon will tell him that this planet, or at least this city, is predominantly human dominated. Naturally, this means Thrawn himself would stick out like a sore thumb, so he'd try to stay out if sight to avoid suspicion. In order to gather further intelligence, Thrawn has his men join up with some of the gangs in Gotham in irder to figure out who the movers and shakers are. He'll likely send them unequipped. Goons with inexplicably advanced technology will raise to many eyebrows for his liking.
He'd begin taking notes on the personalities of Gotham's toughest this way. Riddler's ego, Two-Face's duality, Penguin's greed. Simply examining their taste in art or their latest will tell Thrawn volumes about them. The guy can peg down entire species just by looking at paintings after all. He'd also hear about the man keeping them all in line. The Batman. The top of the food chain.
With a plan forming in his head, Thrawn makes his first real move. He and his men will start peddling imperial technology to criminals. This will allow him to quickly establish a power base, although Thrawn would be aware that it would immediately put him on Batman's radar. He'd be careful not to make these deals in person. Knowledge is power after all. Thrawn's alien appearance combined with the space ship in Gotham's harbor would lead people to the obvious conclusion. The longer he can pose as a common crime lord, the better.
Thrawn will also take care not to sell his more advanced weapons. Better to keep the cards close to your chest. He would, however, sell slightly better gear to the Penguin. Penguin is a business man and one if those businesses is arms dealing. Naturally, Thrawn's fancy new weapons are a threat to business. Penguin either needs Thrawn gone or he ners to up his game. Given Thrawn is willing to sell to him, option 2 proves to be easier. Penguin would get to work reverse engineering, mass producing, and selling his new toys. After this, Thrawn drops his operations off the map briefly and lets Penguin corner the market.
Thrawn then begins to rob museums and art shows, targeting the art Penguin would like. He then begins te sell the art to the Penguin, with hidden cameras attached of course. With the trap laid, Thrawn sits back and waits.
Batman tracks down Penguin as the now sole gunrunner of the high tech guns flooding Gotham's streets. They fight and Thrawn's hidden cameras catch the show. Thrawn takes notes of Bruce's posture, fighting skill, and gadgets.
He deduces that Batman must be rich enough to afford his (by Earth standards) highly advanced toys, likely spent much if his life training to develop such a high level of skill, and would have to have good reason to hate crime given he went as far as to dress like a bat. A quick Google search (he could easily have his men steal a computer or something) and he locks on to a single candidate in Gotham. Bruce Wayne. In one move Thrawn both eliminated a rival and discovered Batman's identity.
The death of his parents provides the motive, he has the same body structure, and disappeared for a considerable time to parts unknown for most of his life, during which he could've easily trained.
Time for Thrawn's Second Move.
He begins making deals with Gotham's other crime lords. He explains his circumstances to Mr Freeze and states that the Empire can grant him the funding needed to cure his wife, he appeals to The Riddler's ego by offering him a position in the Empire's military as a high ranking Admiral, and swears he can dedicate a large part of the Empire's Scientific Research to curing Croc's condition. Those he can't bargain with, he'll simply intimidate with superior weaponry or entice with Batman's identity.
With his new wealth of resources, Thrawn kickstarts a crime spree. He's heard more about Bruce's personality from talking with his villains, he's pieced together his hero complex by now. Batman will run himself ragged fighting crime non-stop. A kidnapping here, a bomb threat there, a prison break and a hostage situation simultaneously. Batman will respond each and every time. He has too.
But eventually he'll break down. And when he does Thrawn will have his legion if Supervillains ready to storm Wayne Manor.
"Checkmate, Mr. Wayne."
I'll note that this argument doesn't acknowledge Bruce's own resources. I look forward to any counter arguments.
I also swear I didn't mean for this to turn into an essay on how Thrawn wins lol. I was just gonna elaborate his tactics and then I said "**** it."