Arnautovic is again being linked with a move away, despite penning a new deal in February.
"Arnautovic (is the strongest team-mate), he likes to play and laugh but he has a strong personality," Anderson told Soccer AM.
“He's strong and tough in every sense and he's one of the team leaders.
“He likes to joke a lot with us and always spreads happiness across the changing room.
“He does his best to smile when he is with us but there comes a time when he needs to be serious, and he does that.
“He talks with the young players to try to make them feel part of the squad."