A friend is experiencing an almost similar problem on his 2003 Corolla 1.8 manual transmission.
He sometimes cannot select gears, he claims that problem is worse early in the morning when he has to do the school run and the gears are fine later in the morning.
There is no sign of any leakage and the brake fluid is slightly yellowish/brownish but nowhere close to being black, I went to check out the car yesterday, no issues gears goes in and we went for a drive with no problems.
I suggested we bled the clutch as I could not think of any other thing, did that and went for another drive, no issues. Left it at that and thought perhaps the issue is solved, got a call this morning, car was refusing to go into gear this morning but it is now fine 30 minutes later.
Is there any logical explanation to this problem or is he imagining things about the car not going into gear early in the morning?