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Wilshere, 29, has been a free agent since he was released by Bournemouth at the end of last season.
He's currently training at his former club Arsenal as he looks to engineer a move.
The midfielder has his eyes on the Premier League, but likes the idea of the MLS - admitting it'd be nice to play for Beckham's team.
He told talkSPORT: "I'd like to go abroad actually. Obviously I would like to play in the Premier League as well.
"But I would also like to play abroad.
"I'm training with Arsenal 'til the end of January, the MLS start their pre-season in January."
Darren Bent then chimed in, asking if he'd be interested in a switch to the Florida-based club.
"Oh that would be nice," he replied.
"You must know Becks? You played with him! Give him a call. Any chance, 10%?"
Beckham's team boasts names like Gonzalo Higuain and Blaise Matuidi as well as British talent like Kieran Gibbs, Ryan Shawcross and Lewis Morgan.
The former Manchester United and Real Madrid superstar could be tempted to lure Wilshere to Inter Miami ahead of the new campaign.
They currently occupy 11th spot in the Eastern Conference table.
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