Los Angeles Police Department Lt. Jorge Pardo tells City News Service that a neighbor's noise complaint sent police to the home at about 1 a.m. local time Friday.
Pardo said Avery answered the front door, shoved an officer and slammed the door but cooperated when officers knocked a second time.
The officer wasn't injured.
Avery, 31, was booked on suspicion of battery on a police officer. He was released about seven hours later after
posting $20,000 bail.
"We will discuss the matter with Sean and have no further comment at this time," the Rangers said in a statement.
Avery created a stir this spring when he appeared in a commercial supporting the same-sex marriage proposal in New York.
Former NHL player Georges Laraque, who is black, accused Avery in 2005 of making a racial slur, which Avery denied.
And Avery had an infamous encounter with Devils goalie Martin Brodeur, waving his stick and hands in front of Brodeur during a game in April 2008. The NHL responded quickly, saying such actions warranted an unsportsmanlike conduct penalty -- a rule now dubbed the Avery rule.
Avery's agent did not respond to a voicemail and email from ESPNNewYork.com.
Information from The Associated Press was used in this report.