Then the most important thing is that you must tell your professor that you have just gone abroad and your English is not very good. I hope he can accommodate you. Then if you don't understand in class, you can ask him after class. If you don't understand the material, look it up in the dictionary first, and then ask him. Anyway, you must create an image that is diligent but has some defects in language, which will be very helpful for your final evaluation!
Finally, there is your language barrier. Don't worry. Now abroad, I learn English every day, and my progress will definitely be faster than at home. Believe me, as long as you go to class for another week or two, you will get used to the teaching speed of your professor, so you won't panic so much, provided you preview! As for reaching the local English level, take your time! After all, people have studied English for 20 years, and you have only been there for a few years. You don't speak it often, do you? The most important thing for you now is to adapt to the pace of learning and keep up with the pace of professors.
If you don't understand, you can keep asking. I am also studying in a university outside, so we can discuss it.
Yeah! You should haunt the professor! When you don't understand in class, you can't raise your hand directly and ask questions after class. On the contrary, I think it will be better to ask questions after class, because you have just listened to a class, have your own thoughts, and then ask the professor, so the quality of your questions is always higher than that of people who suddenly raise their hands in class. Moreover, the professor is not bound by the course after class, so you can be happy to ask him questions, and you are not afraid to disturb other students.
You can watch American TV dramas without subtitles, which shows that your English level has actually passed. You can't understand the European conversation, just because you are nervous and unfamiliar. Just get used to it. As for the professor, I don't think he teaches as fast as your classmates, do he? As long as you can understand the class. Studying abroad, the most important thing is to get good grades, and those who make friends take their time.
Also, does your school have that kind of international orientation department? If so, you should also consult.