"It was great to have him around. It was a bit weird at first, because I'd read so much about him through the press and had my own impression.
"But speaking to people who knew him, I knew he was an absolute gentleman. For somebody so famous, he's just a normal guy. He's very professional, does all the right things and is a great example to the younger players."
Despite his advancing years, Beckham appeared to be in peak condition, showing a level of fitness which would embarrass some of the younger players in the PSG squad.
But while he may have yet been able to continue playing, the off-field situation gave an inkling of what was to come, according to Clement.
"I had a feeling it might happen and he's going out at the top, which is the way he would like it," he added.
"He could have continued on a football level because he's certainly fit enough. But he might have been a bit-part player next season or had to move to another club and I think he wanted to go out at the very top.
"He's really enjoyed being in Paris and competing at a high level after time in the U.S. He may have not thought it would have ever happened again, but he made the most of it."
While Beckham will curtail his time in Paris at the end of the season, Clement hopes to remain to continue his work alongside manager Carlo Ancelotti.
But although the midfielder will exit following the final game against Lorient on May 27, his time at the club will not be forgotten.
"It's nice to work with good players," said Clement. "But it's more important to work with good people."