My car got hit last Friday...

I usually used to park my car on the streets, since there is not a parking space available in my apartment's car a lot.
I have to move my car every morning at (This is optional, but it sounds more fluid. Note: You verbally would say "8 AM", not leaving the AM out.) 8:00 am, because we can't park after that time.
On Friday morning, I went to the street where I had parked my car. Then I was at loss for words, because my car was dented badly.
There was a little paper, which had a written name and phone number, on the windshield. So I called the number.
Then a guy answered and I tried to explain what was going on, but I couldn't understand what he was saying... so I called my girlfriend (This is one word, unless you are saying that she is just your friend, and not romantically involved.) who is American, and asked her to talk with him. Then she explained fluently to him. (Using the word "fluently" in this case is a little awkward, perhaps consider using "Then she explained to him what happened." instead?)
After that she said a towing truck would be coming in 20 minutes (I know it was just a shortage of the word, but in this case, the full word is much smoother.), so I wait beside of my car.
Then the towing truck came to where I was standing (Using the phrase "the place" is extremely vague, so I would not recommend using it. Try to  be specific, it helps the reader understand what you are saying a lot more than if you don't.). Luckily (Try to avoid starting a sentence with "and," it is at times necessary, but more often than not it can be avoided.) he knew who hit my car and had information about the guy.
So I got it and said thank you to him.
From that information, the one who hit my car (technically not necessary, but again, being specific helps with the flow.) was a drunken driver....
Now I'm waiting insurance company's response..
What rotten luck!!

Pretty good job actually! Given that most of the corrections had to do with the flow of the words, I would say that you are getting somewhere significant with your typing. 

Just pay attention to the small words and the tenses. The tenses have to match, so that is a big key in the flow of any piece of writing. Just don't be afraid to be specific! Have fun with it, and use the thesaurus, perhaps at http://www.thesaurus.com/. 

Good luck!

Thanks

My car got hit last Friday...

I usually used to park my car on the streets, since there is not parking space in my apartment's car a parking lot.
I have to move my car every morning at 8:00 am, because we can't park there after that time.
On Friday morning, I went to the street where I parked my car Then and I was at loss for words. because My car was dented badly...
There was a little paper which was written on the windshield with a name and a phone number on the windshield. So I called the number.
Then A guy answered and I tried to explain what was going on, but I couldn't understand what he was saying... So I called my girl friend, who is American, and asked her to talk with him. Then She explained fluently(this doesn't need to be there) to him the situation.
After that, she said a towing truck would be coming in 20 mins and to wait beside of my car.
Then Shortly after, the towing truck came to the apartment. And He knew who hit my car and had information about the guy.
So I got it and said thank you to him.
From that information, it was drunken driver....
Now I'm waiting for the insurance company's to respond..
What rotten luck!!

My car got hit last Friday...

I usually used to park my car on the streets, since there is not parking space in my apartment's car a lot.
I have to move my car every morning at 8:00 am, because we can't park there after that time.
On Friday morning, I went to the street where I parked my car. Then I was at a loss for words, because my car was badly dented...
There was a little paper which was written with a name and phone number on my windshield. So I called the number.
Then a guy answered and I tried to explain what was going on, but I couldn't understand what he was saying... So I called my girl friend who is American, and asked her to talk with him. Then she explained everything fluently to him.
After that, she told me that a towing truck would be coming in 20 mins. so I should wait beside of my car.
Then the towing truck came to the place. And He knew who hit my car and had information about the guy.
So I got it and said thanked you to him.
I found out from that information that it was a drunken driver who hit my car....
Now I'm waiting for my insurance company's response..
What rotten luck!!

Editors note: Wow! Sorry for what happened to you.