The German is tied down to the club until 2018, and revealed Euro 2016 with Germany halted up those talks initially.
"I have a contract until 2018," Ozil told German publication Express. "We have had discussions, but they were suspended for the European Championship.
"I wanted to focus at this time only on the national team. Now we look to continue the negotiations."
"In football, you can never say never. You don't know what will happen. I had a good time in Germany. That was a lot of fun.
"Eventually [moving to MLS] could be an option. I have fun everywhere. My fans know that I like to spend my vacation in Los Angeles, because the city inspires me."