Thanks
The car needs a new exaust so, I am going to spray the area you have
sugest,  with lubricant  when the car is on the lift.

Thanks again

John

Ah, in that case... You're probably not far off, but...

Your gearshift linkage consists of a couple of rigid steel rods. There is
no cable.

Sounds like the car hasn't been driven much and the linkage is a bit
corroded.

You can do two things:
1) Take the car for a long drive, maybe an hour or more in city traffic, so
the lever gets lots of use, or
2) Just keep driving it as you were and wait for it to loosen up.

You could also put it on stands, get underneath, and spray copious amounts
of silicone lubricant around the shift lever area above the exhaust, and
where the rods go into the transmission.

I was hoping you would see my message.

I can see that I wasn't clear and you conclude that the problem was on
the clutch mechanism.
The difficulty is to move the gear stick from gear to gear, as if
there is a cable with dry lubrication.
The problem exists with or without the engine running.Consequently it
eliminates the clutch.
The car only has 80,000 miles
If there is a cable .His it accessible from the inside of the car, by
removing the center console?
Thanks
John

There is a cable. It does not require lubrication, but can occasionally
wear into its sheath and bind. Is pedal effort smooth and even all along
its travel? If so, the cable itself is fine.

If you're having difficulty changing gear, that strongly suggests that your
clutch is not disengaging. This can be due to either the friction disc
sticking on its splines, or a misadjusted cable.

Is gear changing easier with the engine OFF?

How many miles on the car?

Is the clutch properly adjusted? (3/4" to 1" freeplay at the pedal)

Acura Integra 91 manual difficulty changing gears
I have the feeling that there is a cable connecting the lever to the
transmission that needs lubrication.
Is there a cable? How difficulty is it to get access to it ?
Thanks
John