Could it be "don't love him"? There is a hint with "don't" for "kan ikke"
My parents don't love him= "mine forældre elsker ham ikke".
But then what does this sentence mean?
Probably that they cannot love him because of physical or mental issues. If it was "My parents don't love him", they theoretically could love him, it is possible that they would. At least, that is what I think. :)
But if you love him..
-My folks when it comes to each and every guy in my life xD
May I suggest "My parents can't stand him."