Does Solidarity include not permitting France Airbases to be used in Iran bombing campaign?

AFAIK there are neither US air bases in France (metropolitan or overseas) nor are any french air bases used by the USA. France uses Al Dhafra Air Base in the UAE which is also used by the USA.

This is the correct answer. There are no permanent US owned bases on French soil. In the past, US forces have been temporarily deployed to French facilities for exercises or joint operations, but as far as I know, this is not the case right now.

France always had a somewhat sceptic view when it came to being dependent on the US

To add to your comment, in the past, there has been US bases in France. The US troops were evicted by De Gaulle when he exited France from NATO’s Military Command Structure. Some of these old US bases are now used by the french military.