They easily push on.
BUT, to get the old ones off, you need to squeeze the clip, and PUSH (not pull) to unlock them. Then they easily pull off.
That is not written anywhere on the information sheets.
I hope this helps.

A unfortunately this is not the correct part for the system we have

Works great. Like new. It doesn’t come with the stainless shoulder screw so make sure you remove that from existing cartridge and screw it into the new one. Very tight clearance so you will need to either vice clamp or adjustable wrench on the cartridge. Also need correct size Phillips head and a strong wrist.

I have had this faucet installed for a couple of months now. I have no prior plumbing experience, but this was easy to install. I left the previous (metal) drain plug installed (Delta) and it works just fine. It feels and looks like a good quality faucet. Edit: This faucet kit DOES come with a drain pop-up. I just chose to use the one that was already installed because it is metal and the one that came with it is plastic.

This is not OEM and did not fit my peerless faucet, the nut was too small and the large washer was too small as well. The nylon parts fit and solved my problem, a broken stem. Not recommended