Jamaal Lascelles scored the only goal of the game with a thumping header in the 76th minute.
The defeat means that Clement has now lost back-to-back home league games for the first time in his managerial career.
"Although the margin of the defeat is small I am more disappointed with our performance".
"It is collective responsibility and I am at the head of that".
Newcastle United bagged three points for the second straight Premier League encounter, as they defeated Swansea City 1-0 on Sunday evening. "I'm finding it hard to understand why I saw what I saw", he said.
The Republic of Ireland worldwide said: "We don't know at this stage whether he will be there or not".
"But the ins that we got are very good and I am pleased with the size of the squad".
Tammy Abraham came close to scoring after he rounded Rob Elliot, but his shot was superbly cleared off the line by Lascelles.
However, the 20-year-old failed to make much of an impression as his occasional show of flair was undermined by wayward passing, with the stats showing he was disposed 23 times in the match. "I think there are a lot of things we could have done better".
"The team will be led by Rafa's coaching staff, who will be in contact with the manager throughout matchday", the statement read.
"We brought the numbers down and it's far more manageable".
The ex-England worldwide, who helped Newcastle to a Football League First Division title in the 1992-93 season reckons such an impressive feat is possible, if manager Rafa Benitez remains given the quality of the players.
Having been beaten by Spurs on the opening day of the season, Newcastle then turned in a woeful display as they went down 1-0 to a fellow promoted sideHuddersfield. "Even right up to the end, where we did continue to push, we couldn't get a decent ball into the box", he added.