Actually, you don’t even need the clutch to do that. An old trucker taught me a trick to shift without the clutch, so you never step on the pedal except when starting & stopping.
When you’re using engine power to increase or maintain speed, the gears that combine to create “1st, 2nd, 3rd” etc. are wedged against each other. On the input shaft, the engine tries to accelerate one gear, while on the output shaft the driveline tries to decelerate the opposite gear. If you mark the faces of each gear “A” & “B” so that all the “A” sides face into a clockwise rotation and “B” into a counterclockwise rotation, two intermeshing gears make contact on matching “A” or “B” faces, depending on whether you speed up or slow down. Under power, the “A” faces of the input gears always push the “A” faces of the output gears, and under drag, the “B” faces of the output gears push on the “B” faces of the input gears.
Next time you’re driving, step on the gas hard at any speed, and try to pull the stick out of gear into neutral, without using the clutch. Tough, isn’t it? The pressure between the “A” faces creates enough friction to keep it in gear. Now run up to 50 or 60 mph and downshift to third. Once it’s in gear and the motor is revved up, stay off the gas and as the car decelerates, try to pull it out of gear. Same thing, but this time it’s the “B” faces wedged together.
Now try a new variation. Under hard acceleration, try to pull the stick out of gear, gently. Once you have a good feel for the resistance, keep pressure on the stick, and easy slowly off the gas. You eventually reach a gray area between acceleration & deceleration, where the engine speed is matched to the driveline speed such that there is no pressure on EITHER the “A” or “B” faces. At that point, you can pull it out of gear with one finger.
Once you have an idea of what engine speed matches what ground speed for a given gear, you can use this same equilibrium point to shift INTO gear without the clutch. If your engine spins at 3000 RPM in 3rd gear at 45 mph, then if you’re in neutral, coasting at 45, you can bring the engine up to 3000 RPM and slide it into 3rd without ever touching the clutch, and probably without making any gear noise (once you get really good). Ever try to stick it in gear without the clutch and hear a “grinding” noise? It’s just two gears rotating at different speeds, making several impacts a second, but it’s so fast they sound like one big whine. As you get those gear speeds closer together they may tap a little, but you can actually begin to feel the individual impacts. The trick is to slow those impacts down enough to keep them from doing damage.
“Why bother” you ask? Simple… if you can learn to do this, you can also learn to minimize the stress on your clutch anytime you use it to shift. Anytime you step on or off the clutch pedal while the engine is providing power or the driveline is providing drag, you make the clutch slip against the flywheel. If you manually match speeds, you minimize clutch slip, and prolong it’s life. On the other hand, if you take too long learning the feel for the clutchless shift, you’ll wear out the gears, which are harder to replace.