"We had a little slip-up but that came through injuries really and now we have come back, in our last home game, what a way to finish in front of your home fans".
Hull City have been relegated following their 4-0 defeat against Crystal Palace on Sunday.
Paul Clement declared himself a proud man after Swansea won their fight to stay in the Premier League.
Palace came into the clash on the back of three straight defeats, a run that had drawn them back into trouble.
Hull manager Marco Silva, meanwhile, said he needed a frank discussion with Tigers owner Assem Allam before he decides whether to stay on Humberside. Silva arrived in January and, while securing some eye-catching home results, the Portuguese has gleaned only two points from nine away fixtures.
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Wilfried Zaha (Crystal Palace) Capitalised on a horror mistake from Ranocchia to set the ball rolling and terrified Hull with his pace on the break all afternoon.
Hull, however, will join Middlesbrough and Sunderland in dropping down to the Championship for next season. After winning only three out of 20 league games since winning promotion, Mike Phelan was sacked in January.
Sam Allardyce admitted that survival was "a massive relief" after Crystal Palace ensured their Premier League safety with a 4-0 win that relegated Hull City.
"It's a sad day for our fans and our boys", he told BBC Sport.
"Respect the point" has nearly been the catchphrase of Sam Allardyce's revival of Crystal Palace.
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The 19-year-old Dane finished with a neat flick over the body of goalkeeper Anthony Lopes and into the bottom right corner. Due to last week's 4-1 win, the Amsterdam team will play against Manchester United in Stocholm on May 24th.
Following their absolute collapse last week against Manchester City, where they lost 5-0, Palace will need to put that loss behind them and focus on what's ahead.
"We have to be calm, it is easy for the club to understand what they did wrong with the preparation, the roster and we will have the meeting".
"I said to myself this would be the hardest one, given the quality of the teams we had to play on the run-in", Allardyce said.
Crystal Palace will win their battle for Premier League survival, according to their former midfielder Aki Riihilahti, whose combative performances made him a cult hero for the club.
Hull's goalkeeper denied Benteke a second goal later in the first half, following a fine sweeping counter-attack from the home side with Johan Cabaye laying off the final pass to the big striker only for Jakupovic to block his close-range shot.
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They paid the price for a chaotic campaign marred by poor signings and boardroom turmoil, not to mention conceding 13 penalties - the highest in a Premier League season.