The Galaxy coach was left unimpressed with what his side offered in its 4-1 loss to the Crew.
Midfielder Justin Meram stole the show with the opening goal and the assist for Ethan Finlay's second, and while Gyasi Zardes' strike early in the second half brought the Galaxy back into the contest, Ben Speas and Giancarlo Gonzalez underlined the advantage as the Crew put an impressive 12 shots on goal to the Galaxy's five.
"They thoroughly outplayed us," Arena said after the game in an article posted on the league's website. "Our passing on the night was poor, finishing was poor. A lot of the basics, we got beat on tonight. Give them credit. These things happen. Every team has a bad game, and this is certainly a bad game tonight."
Striker Robbie Keane, who notched an assist on LA's goal, agreed with his manager's stark sentiments.
"Bad performance all around," Keane told reporters. "I think they were the better team. They controlled most of the game. They never really looked like they were going to lose."
Columbus (7-8-9) moved up to fourth in MLS' Eastern Conference with the win, a spot occupied in the West by the Galaxy (9-5-7).