The former Manchester United and Real Madrid star left the club at the end of 2012 after a successful six years but Klein insists the MLS' biggest ever name has not forced season ticket sales to fall away.
"We haven't seen a drop-off," he told MLSsoccer.com.
"One thing we've learned is that people came out in the end to see the Galaxy.
"David Beckham was certainly a part of that, but we have not seen fans that have gone away. In fact, we continue to add to our season-ticket base."
However, the Galaxy sold out just six of 17 regular season home games in 2012 and Klein admits that needs to be addressed.
"We feel pretty confident that we could fill the stadium every night, but we want to do it the right way," he added.
"Where we take care of our season-ticket holders, where we provide a product to our fans and with the game entertainment we have that keeps the fan coming back game after game and year after year."