Am in the same boat, only with the left hip.
No matter the warmup or stretching my hip would just freaking howl when I started my squat warmup at 135#. First couple of warmup sets would just be absolute hell, then the pain would fade out enough to just suck it up and start stacking on plates to my work sets. I'd come off the bar and barely be able to walk.
It's bad enough I've got a MRI with dye contrast scheduled to see just what is going on in there. The probable issue is a labral tear or possibly osteo necrosis, a tear they can fix, the necrosis might mean a replacement. My wife, my doctor, damn near everyone said just stop squatting but I'm to damned stubborn and exercise is my chief weapon against diabetes.
I did discover just the other week a way to keep the pain down to tolerable levels however.
My wife and I had been to the big Europa fitness expo in Dallas the other weekend and she got talking to the folks at Inzer about her knee issues. She ended up with a set of Inzer knee wraps to help her stabilize her knees. One squat session she fell in love with them. Just for grins I decided to try them, figured it couldn't make it any worse, why not.
Wrapped my knees, got under the bar, dropped below parallel and an amazing thing happened. I didn't feel that tearing / ripping sensation in my left hip! I could feel the deep ache of whatever issue is there, but the pain was very manageable. Best guess is the wraps stabilized the knees so they weren't doing any external/internal rotation while I was squatting. I've done a couple of lifting sessions now since wrapping the knees and it seems to be working, so much so, my own Inzer wraps are on the way.
Semper Fi