Beckham, who joined the Major League Soccer club in June 2007, is on loan with AC Milan and has expressed his desire to stay in Serie A to help him in his bid to play one more World Cup with England in South Africa next year.
"We'll do whatever is in the best interest of the team and the organisation," Arena told reporters after a Galaxy training session at the Home Depot Center in Carson, California on Thursday. "I won't let it be a distraction. It won't be.
"This is a business and we'll attend to this matter like we attend to every matter related to the Galaxy. Whatever happens, happens, and whatever concludes will be in the best interests of the Galaxy.
"Most of the things I enjoy when I do read them," added Arena, who last week pledged that the Galaxy would honour Beckham's loan agreement with Milan.
"Not only those about David but everything. It's kind of humorous when you understand what's going on behind the scenes."
"I have expressed my desire now to stay in Milan and hopefully the clubs can come to some agreement," the former England captain said after a friendly between Rangers and Milan at Ibrox.
"I expected to enjoy it (in Milan), but I didn't expect to enjoy it this much and play in every game like I have.
"I have said that my intentions are to stay here. Now it is out of my hands so I have to wait and see," added Beckham, who has played at the 1998, 2002 and 2006 World Cups.
"My main objective is to stay at this club and I enjoy playing here and at the highest level and it would give me more of a chance (of playing in the 2010 World Cup)."
The Italian giants have said Beckham's lawyers were discussing with the Galaxy the possibility of extending the player's loan spell, due to end on March 9.
Milan chief executive Adriano Galliani has said he wants Beckham to stay. For technical reasons, Beckham's loan is actually until June but there is an agreement that he goes back to the United States in March.
"To enter a negotiation and eventually close a deal we have time until March 8," he said.
