Yes. I waited to sell Maverick until I beat it. I had to see my initials on those playing cards before it could leave.
Out of my current 6 games I have right now, I've only not beaten one. I haven't won the WWE Heavyweight Championship in Wrestlemania, so it stays. I honestly don't really want to sell it anyway, so it gives me a good excuse to keep it. Wrestlemania is *extremely* difficult so if I stick to my guns on this one, I might own it forever.