Car overnight parking in Bangkok

In the end of June I'll go to Bangkok on vacation. I want to go to Pattaya using a rental car. But the problem is, is there any car parking that I can put the car on overnight while I stay on my hotel (at Bangkok)? I checked, and my hotel (or maybe hostel) doesn't have any parking lot. The hotel area is around Thanon Phaya Thai, Ratchathewi, which is, as far as I know, located at narrow/small road.

Thank you