How to get PR in France or any European country as gay couple? [closed]

Most countries doesn't grant people permission to live there solely because their sexual orientation doesn't allowed them to get married where they come from. Risk of prosecution due to sexual orientation is a factor considered where granting/rejecting an application for asylum, but it doesn't sound like that's your situation.

In some (most?) countries both people involved would have to be citizens, others might be satisfied if you can convince the local authorities that none of the involved are already married.

In some countries you can get married either in a church or at city hall (or where ever the local authorities do that), most churches probably require some form of association and have procedures that take a lot long, so don't dream about that.

If you (and your partner) want to go to France (or anywhere else in Europe), apply for a visa. If you get it you can then try to research whether you can get married while away.

And if you (and our partner) actually wants to migrate and live in another country. travel.SE is not the site, expatriates.SE is a better option.