Brazilian Luiz completed a medical with the Ligue 1 club on Friday ahead of a reported £50m move.
Following the news, Ibrahimovic took to Twitter to voice his delight at the transfer.
Yet another giant for the @PSG_inside defense! Wow! I'm already looking forward to next season and vacation has only just started..— Zlatan Ibrahimović (@Ibra_official) May 24, 2014
Luiz will depart Chelsea having scored 12 goals in 143 appearances.