However, Arena does not want his players to over-exert themselves by playing competitive club football overseas.
When quizzed about a possible loan for Gonzalez, Arena told Galaxy's official website: "Our players aren't going anywhere. Even though we argue that the [offseason] layoff is going to be too long, he can go in camp with the US national team in January, along with Landon Donovan.
"Our players have had a really tough run this year, in particular Robbie and Omar with all their requirements with national teams.
"They've had a full 11 months of play and they need some time off and then they need to get back here in LA and be ready for a challenging campaign that includes in the beginning not only the league, but the [CONCACAF] Champions League."
Galaxy finished third in the MLS Western Conference last season.