Los Che's coach insisted his team acquitted themselves well after their Champions League exit
Trailing 2-1 from the first leg in Spain, los Che kept PSG relatively quiet and broke the deadlock through Jonas' stunning long-range effort midway through the second half.
However, an Ezequiel Lavezzi goal on the counterattack extinguished Valencia's hopes of extending their stay in the Champions League, with Carlo Ancelotti's side running out 3-2 aggregate winners.
"The locker room is sad now, but we are aware we played well and leave with our heads held high," Valverde told reporters following the game.
"We did not play as we usually do but we mastered the attacks of PSG.
"In the first half we stopped their counterattacks [and] we contained them. In the second half we had to go all-out attack and then they had their chances."
Les Parisiens were far from impressive on home turf, but the Liga side struggled to make their superiority on the night count as the game slipped away from them.
"We failed to land the final blow late in the game due to fatigue. We lacked quickness and electricity."