Upvote:2
If your ban is still in force (itβs unclear from your question when it was imposed and how long for) you are ineligible to apply for a visitor visa. If you apply, you will automatically be refused. If your ban has expired you can apply but itβs probably unlikely youβd be successful. Having a French resident permit makes no difference in either scenario.
If and when your wife gets French citizenship, and if the UK is still in the EU at that point, you may be eligible to apply for an EEA https://www.gov.uk/family-permit/eea-family-permit to travel with your wife to the UK.