What is this speaker cable connection?

Yes, as erik said, the connectors are standard spades. Because the speaker terminals on the Parasound 23 are quite close to the bottom of the case the length of the barrel of those connectors might not give you enough room to bend the cable away from the amp. It might be necessary to raise the amp, connect the cables from the top of the terminals rather than from the bottom or connect them from the bottom at an angle.

Both of those amps have binding posts that will accept bananas, pins, bare wire and spade lugs like you have. Just unscrew the plastic red or black knob and insert the lug into the area that is exposed when unscrewing the post. Then tighten it back up, as tight as you can get with your fingers or gently give it a nudge with a pair of pliers. You do not want them to move back & forth. Make sure the + & - wires are not touching each other.

I'm calling a spade a spade

Yes but the most badly designed worst engineered spades I have ever seen. I mean that picture, its like a car wreck. You don't want to look, but you do, and then you just can't stop. What a mess. We should have a contest, who can spot the most flaws in this most flawed design?

Yes but the most badly designed worst engineered spades I have ever seen. I mean that picture, its like a car wreck. You don't want to look, but you do, and then you just can't stop. What a mess. We should have a contest, who can spot the most flaws in this most flawed design?

I agree with you about the ludicrous spade.   It is way too long and straight and I doubt it would fit any of the gear I own.    My speaker posts are recessed and I would have to put my amp on a 6 inch riser to give it clearance.

Even if It did fit I wouldn't use them.  With the long torque arm  you run a big risk of shorting if a cable gets bumped.