I mean, sure. I like Harry Potter and I also liked HPMOR. Although imo it goes off the rails in the second half or so and kinda fails to live up to its promise.
Satire / parody doesn't necessarily have to be a merciless polemic against the target - and as a matter of fact, it would be pretty hard to read HPMOR and not come away with the feeling that the author was a pretty big Harry Potter fan.
Another thing that comes to mind is the horror movie Cabin in the Woods, which sends up lots of horror tropes but is still fun and enjoyable for fans of the genre.
I understood, I was just using one less level of meta parody to make my point. I thought TFA was funny, if not hilarious. I also enjoyed HPMOR. So I'll make my point again, which is that you can like a thing and also like its parody.
Satire / parody doesn't necessarily have to be a merciless polemic against the target - and as a matter of fact, it would be pretty hard to read HPMOR and not come away with the feeling that the author was a pretty big Harry Potter fan.
Another thing that comes to mind is the horror movie Cabin in the Woods, which sends up lots of horror tropes but is still fun and enjoyable for fans of the genre.