Hi Guinch, Welcome to the community..!!
Ideally the the vCenter shouldn't face any issues after OS upgrade. Though it can be answered in two ways.
Scenario 1. Both vCenter and its database in the same machine.
Make sure both vCenter and database both support the windows upgrade.
But its recomended to keep the database separate from vCenter. So better to have a database backup in this case.
Scenario 2. Only vCenter is in the upgraded machine and it uses a remote database.
Make sure the the windows upgrade is supported by vCenter version.
Follow MS recomended upgrade procedure.
Hope that helps
~dGeorgey