Liverpool captain Gerrard signed a pre-contract agreement with the Galaxy last month, and will move to Los Angeles upon the expiry of his deal with the Premier League club at the end of the season.
The Galaxy are currently in Europe as they ramp up their preparations for the new MLS campaign with friendlies against Swedish side Hammarby and Shamrock Rovers of Ireland this week.
"Yes, I will meet with him," Arena told the Galaxy's official website.
"We'll just have an opportunity to talk about our club and expectations - those types of things."
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