The hosts went into a key game at Craven Cottage knowing that victory would see them leapfrog Newcastle into 17th place, with Steve Bruce’s side – who already had a game in hand – facing a crunch six-pointer away at fellow strugglers Brighton 24 hours later.
However, Fulham could not avoid a second successive loss that follows an impressive run of form, despite stand-in captain Joachim Andersen cancelling out the impressive Patrick Bamford’s opener before the break.
Bamford set up Brazilian winger Raphinha for the winning effort shortly before the hour mark, with Leeds also having two first-half goals – from Raphinha and Luke Ayling – ruled out for offside.
The win was no less than the superior visitors deserved and Parker pulled no punches in his assessment after the full-time whistle.
“We didn’t deserve anything from the game really and the best team won tonight, to be honest with you,” he told Sky Sports.
“The game started and I thought we huffed and puffed and probably were a bit fortunate to go in at 1-1.
“In saying that, the second half then comes along, we miss a massive chance just before they go and score – I think 20 seconds after and they go and score.
“But I think it’s fair to say the best team won tonight.”
Fulham will now be keen spectators of that clash between Brighton and Newcastle before preparing for a critical eight-game stretch after the international break that sees them take on Aston Villa, Wolves, Arsenal, Chelsea, Burnley, Southampton and Manchester United.
The Cottagers end the season with a home meeting against Newcastle on May 23.
“We’ve got eight games now, eight finals,” Parker said.
“Teams around us, we’ve put ourselves in a great position – of course we have.
“Very disappointed with tonight but as always, like most times this year, this is a little blip.
“We regroup and we come back fighting like we have done for the majority of this year.”