I'll beat everyone to the punch by saying 'do a search' as the ? has been asked many times...
Having said that & cuz you did ask a specific ? re: on-site prop, I'll answer. No, nothing is connected to the airport. ALL hotels (re: of chain) require a shuttle.
Having said that, there are sev Marriott brand hotels w/in 10 minutes of LAX & at that, I'll let you do a search of the Marriott website using 'all brands' as your criteria. Anything from LAX to El Segundo to Manhattan Beach to Marina del Rey will be fine.
Cheers. Sharon