Yes, city is a Scrabble word!
...and is worth 9 points in Scrabble, and 9 points in Words with Friends
city
Noun
1. A large and densely populated urban area; may include several independent administrative districts
2. An incorporated administrative district established by state charter
3. People living in a large densely populated municipality
What Scrabble words can I make with the letters in city?
3 Letter Words
2 Letter Words