Chelsea fans have the right to boo Hazard, says Hiddink
Next season appears likely to be Chelsea's first without Champions League football under the ownership of Roman Abramovich, who took over in 2003.
Their most recent season without top-level European competition was in 2002-03, when they played in the Uefa Cup.
Chelsea's only losses under interim boss Guus Hiddink have been inflicted by PSG, who advanced to the quarter-finals for the fourth straight season and the second in a row at the expense of the Blues.
Away goals had separated the sides in the last two seasons - Chelsea won the quarter-final tie in 2014, but were defeated at the last-16 stage in 2015 - and John Obi Mikel's strike on February 16 at Parc des Princes gave Chelsea a fighting chance.
The performance of Diego Costa did, too. He cancelled out Adrien Rabiot's opener before departing injured after an hour. And seven minutes later Zlatan Ibrahimovic struck in a cathartic moment for the Sweden striker, who missed the 2014 tie through injury and called Chelsea's players "babies" following his sending off 12 months ago.
Eden Hazard was again disappointing and he was booed by a handful of home supporters as he was replaced 13 minutes from time, nursing a hip injury which makes him a doubt for Saturday's FA Cup quarter-final at Everton.
Talking about both Costa and Hazard, Hiddink said: "We'll see if there's big damage tomorrow.
"Diego was desperate to play against PSG, although he was not 100 per cent fit. I don't know if that became worse. I don't know if it's worse than before the Stoke game (which Costa missed as a precaution)."
On the booing of Hazard, Hiddink said: "Yes, they had the right to do what they think. You can always express your feelings."
Hazard had at half-time swapped shirts with Angel di Maria, something Hiddink said he did not approve of, although he refused to condemn the Belgian.
"I'm aware. It should not have been done," the Dutchman said.
"But in some countries it's usual that you do it (at half-time) and not after the game. Maybe they're both used to doing that. Don't overvalue this issue."
Hiddink felt Chelsea showed PSG too much respect early on and were punished when seeking a second goal.
"We pushed in the second-half, we tried to get 2-1 (ahead)," Hiddink added.
"We were on the edge around the 65th minute to score. We didn't do so, and they had an attack and unfortunately for us they killed the game at that moment."
PSG boss Laurent Blanc felt his side controlled the game.
"We were preparing for a tough match and we were right to do so," Blanc said.
"We didn't necessarily think we were able to put in such a good performance away from home, so that is very pleasing for us.
"We controlled the game and that allowed us to have an easier night than we perhaps expected to."
Blanc praised Di Maria and Ibrahimovic for their performances.
He added: "Angel di Maria gave Chelsea a problem from start to finish. They never knew where he was, but we always knew where to find him with the ball.
"Zlatan performed at the level that he has been performing throughout this season.
"I don't necessarily think it's going to give him any more confidence. He has plenty of that as it is. He scored the decisive goal and also laid on an assist so it was a good night for him."