French dating culture- forwardness

Hello! I am an Italian American from Miami, moving to France in the fall! Of course I am wondering about the dating culture. Here in Miami men are very open about interest, and Italian American culture is blunt, forward, and passionate when it comes to love.

I’ve heard French men are more romantic, but are they forward? Would it be strange for a woman to pursue a man, or ask him out? Or would forwardness/openness in a woman be considered a downside in France?