The Manchester United striker handed in a transfer request last season but a summer move never materialised and now the Swede has challenged him to make the switch to Ligue 1
The striker handed in a second transfer request inside three years at the end of last season, with Chelsea manager Jose Mourinho public in his pursuit of the England international.
However, the transfer deadline passed with Rooney still at United, and Ibrahimovic has now called on the 27-year-old to join the Ligue 1 champions if he still seeks an exit.
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"I think he made it clear in the summer that he wanted a fresh challenge - and things have not been going so well for Manchester United this season.
"If he still wants to move next summer, or in January, I would urge him to come and play with me in Paris. The only direction this club is going is up."
Ibrahimovic jokingly warned that Rooney would not be the star attraction at Parc des Princes if he was to make the switch to France, but was quick to praise the forward's talents.
"If he did join he would have to get used to the fact that Zlatan scores even better goals than him," added Ibrahimovic.
"But I don't just want to play with great players, I want to play with technically great players - and that is what he is.
"You can work on the technical side but it is not something you can be taught. You have it or you don't and Rooney does."