It takes 24 hours for the earth to make one rotation on its axis- it's roughly 1000MPH. If you were to sit in the exact same spot in space for say, 6 hours, you would be able to observe the Earth make a quarter rotation - about 6250 miles.

For contrast, NY to Hawaii is about 5000 miles. Beijing in Eastern China to Istanbul in Western Turkey is about 7000 miles. You would be able to notice the change, but six hours is a long time to observe for, so you may not really perceive it.