No. Nuclear deterrents work against nuclear threats. But a lot of modern warfare is by proxy. Subnuclear force is what matters.

More tangibly: Russia starts constructing a base on Greenland. Does France risk nuclear exchange to challenge it? For that matter, would America? Of course not.

Sanctions, blockading the construction site and threatening to build similarly near Russian assets would be the game. Each of these, individually, is within Paris' capacity. (Except, maybe, sanctions.) But collectively, no.