I'm sure there'd definitely be interest at that price.
Liljegren's contract makes him a little bit of an awkward fit for a deep blueline playoff team...but there are plenty of teams out there who could afford to spend $3M cap (and less cash) on a guy who, on a weaker/less deep blueline, is probably more of a #4/5 tweener RHD and still reasonable young.
He's in that same grey area as Henri Jokiharju imo. Where you really don't want him in your Top-4, but for short stints, he's probably a better option than a lot of other #5/6D. But also doesn't really do anything particularly well...where most playoff teams tend to prefer more of a "defensive specialist PKer" type in those #5/6 roles. And $3M is a lot for a playoff team's #5/6D.
Plenty of teams out there lacking some depth at RHD who could afford to give him a try, where the cap number shouldn't be a a major factor.