About my goal

Hi! Currently I am working for an American company so and I have to communicate with my foreign partners every day in English. But for now My English leaves much to be desired., so if you have time to help me improve my English, I will would appreciate it. In return I will helpl you with your Russian. Thank you.

--Notes--

1. American company

American is a proper adjective derived from the proper noun America, so it must be capitalized. 

2. ...and I have to communicate

It is better to use the conjunction and because the second clause does not directly follow from the first. You could eliminate the conjunction and write two simple sentences and it would mean the same thing: I am working for an American company. I have to communicate with my foreign partners every day.

3. improve my English

It is more idiomatic and polite to ask someone to help me improve my X. When you say improve my X, it sounds abrupt. 

4. I will appreciate it.

It is better to say I would appreciate it when making a request for help. There is no obligation for someone to help you, so it sounds more polite to use the conditional form of will, which is would.