I am planning to stay there for one night and fly out for about 1 week. Can I leave my car in the hotel parking lot during my travel?
Reach the hotel front desk they may allow it
I wouldn't leave my car there, and I would change your reservation while you can. The Springhill Suites at the Houston airport is much nicer.
I would say it safer to leave your vehicle at the airport parking lot. They usually offer lots were they can store your car while you're gone. Its not so safe leaving it in the hotel parking lot. Because theres not a guarantee that it will be there when you get back.
I would not leave my car at the hotel or stay there. We had our room broken into and things stolen. The hotel will not take any responsibility for items taken out of your room they will definitely not take any responsibility for your car if it's damaged in its parking lot. I just would not chance ruining your vacation by staying at this hotel even for one night. Safe travels :)
Get an answer from Fairfield Inn & Suites Houston Intercontinental Airport staff and past guests.