Gonzalez (shoulder) was claimed off waivers by the Giants on Wednesday, Kiley McDaniel of ESPN.com reports.
Gonzalez was placed on release waivers by the White Sox on Monday and was a strong candidate to return to the team on a minor-league contract if he had gone unclaimed on waivers. The 25-year-old is slated to undergo season-ending surgery next week to address a labrum injury, so he won't take the field with his new club until at least 2022.