This was reported to be a big motivation for the player as he joined the French side for a world record £198m fee.
The arrival of Neymar at the Parc des Princes has threatened Di Maria's place in the PSG starting line-up and with the World Cup in Russian Federation around the corner he may look for regular football elsewhere.
Klopp told DAZN: "It's pretty simple".
"Then there is the list, with the release-clauses for Barcelona".
Spanish publication Sport claim that Di Maria is just one of a number of potential targets for the Catalan club as they desperately try to replace Neymar, who is now one of Di Maria's team mates at Paris Saint-Germain. "And now it simply happened".
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Following PSG's deal, some in world football have suggested putting new controls on transfer spending and Klopp agrees this could be a possibility. "No coach would demand such a thing".
Tite who manages Neymar at national team level feels the time has come for the player to fight Lionel Messi and Cristiano Ronaldo for the Ballon d'Or.
"A simple solution would be a rule", he said. Where we want to go and where this should stop.
After selling Neymar to Paris Saint-Germain, could the two clubs be set to do business again?
PSG's capture of Neymar is meant to turn the Ligue 1 side, who finished second behind Monaco in Ligue 1 last season, into genuine contenders to win the Champions League, but Klopp stressed there is more to the sport than signing star players. A star player on one side and another one on the other makes the player in the middle a star too.