Does it make any difference if you call it European culture (as many do)?
I wish we English speakers could find another way to express solidarity with our background culture without saying we are “proud” of it. Being from a culture is no particular achievement, after all. What we seem to mean really is that, especially where our background culture is oppressed or criticized or ignored, we want to emphasize its value among the cultures of the world. Calling it pride is a convenient shorthand, but its inaccuracy leads to communication difficulties in more nuanced contexts.