This is an issue I face from time to time when I'm (native German) in international calls and am talking about a German colleague ... I could pronounce properly German (while it's not too easy always for my mind to switch) or adapt to the way most others do (which often is English with an attempt to Germanize)

Luckily due to video conferencing software printing my name on my image, I don't have to do that for my name, as I had to do in phone conference times.