So given the guidebook statements Gallavant posted awhile ago, Godzilla is at least 3x stronger than Super MechaGodzilla when he fights SpaceGodzilla, and MG scales above both Battra and Mothra, who are equal, meaning Godzilla's at least outputing 1.6 yottatons.
Vegeta's Oozaru form is 10x his base, given this statement and Vegeta should be at least 3 times stronger than Nappa who's vaguely above Piccolo meaning he should output above 523 zettatons.
Given this roughly three times boost in power, similar tactics in battle and Godzilla's ability to adapt in battle, I'd say he wins this fight
Vegeta's Oozaru form is 10x his base, given this statement and Vegeta should be at least 3 times stronger than Nappa who's vaguely above Piccolo meaning he should output above 523 zettatons.
Given this roughly three times boost in power, similar tactics in battle and Godzilla's ability to adapt in battle, I'd say he wins this fight