Former England captain Beckham played alongside Ibrahimovic at French champions Paris St Germain before announcing his retirement from football in 2013.
Having enjoyed success at the likes of Manchester United and Real Madrid in Europe, Beckham's forays into the United States have seen him turn out for LA Galaxy and he eventually announced his intentions to begin an MLS franchise in Miami.
Beckham's team of investors has acquired land in Miami's Overtown neighbourhood, and they have been given MLS approval for the franchise, so the attention could soon turn to which stars will pen contracts.
It would seem Beckham has already set his eyes on one in particular, telling Swedish newspaper Aftonbladet: "We have received permission to build an arena and it will take three years ... maybe two, at best.
"If Ibrahimovic is still active, then I want to buy him right away. He is a physically magnificent specimen, so it's entirely possible.
"Who does not want a man who is prepared to kill to win?"
Ibrahimovic has long been linked with a move to the Barclays Premier League, this despite the Swede's insistence on loving life with the French champions.
The 34-year-old is on yet another hot streak in front of goal with PSG, but Beckham for one is never surprised at the success Ibrahimovic has enjoyed.
"I've played with or against the very best in the world," Beckham said. "I want to say that I have never met anyone who was so serious during both practice and games.
"When I came to Paris I knew that he was an incomparable talent as a player, but he'd be so tough and merciless on himself at all times, I had no idea.
"He is a born winner. He is a beast with huge self confidence, and I'm one of his biggest admirers."