I can't do a language exchange, but I'll give you a correction, which should be helpful.  And yes, your method sounds very good!  : )

Dear friend,

I have been studying English for 6 months to learn this beautiful and useful language, but I'm having some trouble because I don't have a good memory and I don't meet people with whom to speak (to talk? <em>If you say 'to speak' the focus is more on speaking English, if you say 'to talk' the focus is more on the conversation itself, but both are okay</em>).

In my opinion to improve my English I have to do various things such as: studying grammar, reading a book or an article, speaking with someone and listening a lot. Another way to learn it is to write an article, essay or letter to understand whether I know the grammar and the tenses (and a hundred other things);

If you want improve your Italian language and to help me learn some English we could try to speak or write.

See you soon

I forgot a 'to':  "If you want to improve your Italian..."

hello , i want to learning speaking if you want we are talke about that.

Thanks lydia!!! I'm very happy for your suggestion...