Ibrahimovic famously won eight titles in a row for five different clubs in three countries until 2011, such was the effect he had on the teams he joined.
After being part of an Arsenal squad that famously won nothing for seven seasons, van Persie clearly does not have quite the same magic.
But, along with Manchester City manager Roberto Mancini, Jol believes whichever club van Persie decided to join after leaving the Gunners last summer would win silverware.
"Van Persie is the main man," Jol said. "He sets them up with little flicks and combination football and he also scores the most goals.
"He scores over 30 goals a season and will be top scorer again, as he was last year.
"He is like Zlatan. Wherever he goes, they will be champions. Van Persie has that quality."
It is a glowing tribute to pay to someone who, by Jol's admission, was not much of a threat at Craven Cottage on Saturday.
The main danger came from Wayne Rooney, who struck a post in the first half - the last of three occasions on which United hit the woodwork - before curling home a 79th-minute winner just as it appeared his team were heading for their first goalless draw in an incredible 97 matches.
"I think they will win it (the league title) this year because players like Rooney make the difference," Jol added.
"It is almost frightening the players they can bring on. This time it was Danny Welbeck, who is one of the quickest players in the Premier League. They bring him on just to hurt you.
"They not only have the best team, they have the best squad as well. But they are Manchester United, why shouldn't they have good players on the bench."
Fulham's aims are rather less lofty, although at least a midweek win over West Ham has given them some breathing space in the battle for Premier League survival, even if Jol knows the trauma still to come.
"First you need 36 or 37 points. Then you have to get to 40 points," he said. "It is always the same.
"If you had to wait for that until the last game of the season you would probably end up in hospital."