I think the consensus is that 10 minutes is safe enough and will keep the current FT rating for the average player.
But it varies a bit.
Early this past season I got an email: "After continuing to work with Albert Bartlow on his free throw shooting technique, I think we're wasting time if we continue spend *so* much time on it. Maybe we can better use that time elsewhere?"
I dropped his practice minutes from 11 to 6. Near the end of the season his FT rating went up while still practicing only 6 minutes.
There are other guys I've had improve with only 8 minutes but never with as few as 6.