To the American Manga Student who has a teacher(s) who doesn't like anime. How to deal with it...

If you have a teacher at your school or college, or a mentor who hates anime, as some do (Disclaimer: Not all art teachers hate anime, only some). 

I suggest not trying to convert your anti-anime teacher to anime. If someone doesn't like anime, trying to get them to watch it is pointless. They probably won't. BUT, you can do the smarter thing. Try to make you're teacher aware that there are just as many technical elements that can be learned, studied, and reverse engineered from copying anime drawings as any other style of comics and animation. 

Any teacher who actually knows what he or she is talking about should know that art students can learn from ANY art style that exist, no matter which country or time period it comes from, how new to the establishment it is, or how commercial and established it is. Teachers should ALWAYS encourage learning, and not just be biased against something because it's pop culture or foreign or whatever reason that particular teacher has for not liking certain styles, whether it's indie comics, pan-asian cinema, or European and Asian literature, whether graphic or narrative.