Okay to be more specific I was in the parking lot at Safeway today and I hit a huge pothole which caused my tire to go flat who's responsible for that in that parking center

I would think its just like if you fall in their store, but you are going to have to talk the store manager.

The management inside Safeway should be able to get in contact with the correct person for you, good luck

Likely the property owner, which may not be Safeway. You'd have to inquire about who owns the parking lot and what the lease says about upkeep of the parking area. Good luck!

You are, they're not going to compensate you for that.

Maybe look where you’re driving. That should help.