The Russia international stormed straight down the tunnel against Manchester City and was sarcastically applauded by manager Harry Redknapp.
"During the game I had a couple of chances to score but I didn't take those chances so I was angry at myself when I came off the pitch, not at the decision to replace me," Pavlyuchenko said.
"I know it was not my best performance but I blame myself for that and nobody else.
"I did not mean to cause offence with my actions and I apologise to my team-mates, the coaching staff and the supporters, who have treated me so well since I arrived.
"To get the opportunity to show my appreciation to the fans during the walk round with my team-mates at the end of the game was a special moment. They have been so welcoming and supportive towards me.
"It is now up to me to go away and work on sharpening up in front of goal."
Meanwhile, midfielder Tom Huddlestone has had surgery on his left knee and faces an anxious wait to see if he will be fit for England's European Under-21 Championship campaign this summer.
The 22-year-old was understood to be carrying the slight problem through the last few months and he will now go under the knife and miss the last part of Spurs' Premier League season.
"The operation will rule the midfielder out of our final fixture of the season at Liverpool on Sunday," read a statement from Spurs.
Redknapp is already without Wilson Palacios for the rest of the campaign due to a family bereavement, while fellow midfielder Jermaine Jenas came off during the Manchester City win at the weekend through illness.
Redknapp is also monitoring the fitness of centre-back Jonathan Woodgate, who was thought to have injured his groin against City.
Spurs need to win against Liverpool on Sunday and hope Fulham lose their final game of the season if they are to qualify for the Europa League.
"Fulham look nailed on. But it is possible," Redknapp said.