It is absolutely possible to carry pride in one's own language. In our country Tamilians and Malyalis people reject Hindi as their mother tongue. Instead carry pride in their own native language. German people too rejected English over their own language. Accepting someone's language is an indirect way of giving them power on ourselves i.e known as hegemony, a concept by Gramsci. East India Company established their power over Indians by showcasing English a language of rich and Hindi being a language of poor.
Linguistic Chauvinism means giving importance to one language and crushing others. People should not consider only their language is important. They should treat each language with equal respect. As each language represents a community, and by disrespecting a language one insults the whole community.