The retired midfielder, who spent the final six months of his playing career at PSG last season, thinks his former team-mates can punish Jose Mourinho's men
The Parisiens have been drawn against the Blues in the quarter-finals as they look to better 2012-13's last-eight showing, having swept aside Bayer Leverkusen in the last 16 this season.
Beckham, who finished his career with PSG in the latter half of the previous campaign, has faith that his former team-mates can cause a minor upset by eliminating Jose Mourinho's side to reach the last eight under Laurent Blanc.
"Every time people mention PSG to me I smile, because I had six months of pleasure there with the players I was playing with, with the fans, the club - it's such a great club," the ex-Real Madrid and Manchester United midfielder told beIN Sport.
"I was welcomed by the club with open arms, it was an incredible six months. The position they're in... they've got such a strong unit, with strong players.
"The owners that run the club, they want to best and they've got the best. Thiago Silva, for instance, is the best defender in the world.
"Zlatan is a character but he's also one of the best players I've played with. He's a great man. He's a player that I loved playing with.
"I think they've got a real chance in the Champions League this year. They're coming up against a Chelsea team, with Jose Mourinho as manager, he takes the team to a different level. But I do think that they have a got a good chance."
Beckham, who spent a large chunk of the latter part of his career at LA Galaxy, has hit the headlines in recent weeks as he ramps up his plans to launch an MLS franchise in Miami over the next couple of years.
When asked if Beckham would consider bringing Ibrahimovic to the project, he jested that he would have a word with PSG president Nasser Al-Khelaifi about it.
"I'll let Ibra play at PSG for a few more years," he added, laughing. "Then I'll speak to Nasser and I'll speak to a few other people!"