The team is seeking a first-round pick and a prospect in exchange for Muzzin, according to The Athletic's Pierre LeBrun.
LeBrun notes it's not certain the Kings will deal Muzzin ahead of the Feb. 25 trade deadline, but they are listening to potential offers.
The 29-year-old is having a solid season with 20 points in 47 games, second among the club's defenders behind Drew Doughty. He leads all Kings blue-liners with a 50.96 Corsi For rating and is first on the team in both hits and blocked shots.
Muzzin has one year remaining on his contract after this season and carries a $4-million cap hit.