Pierre Sage has been warned he could be sacked by Crystal Palace if they risk being sucked into a relegation battle.It follows the Eagles’ heavy defeat to bitter rivals Brighton on Sunday afternoon.Sage’s side made a disastrous start to their clash with Brighton on SundayGettyPalace were thrashed 5-0 at the Amex after shipping three goals inside the opening 10 minutes.Those included an own goal from Jaydee Canvot before Diego Gomez scored a goal of the season contender from the halfway line.The defeat marks Palace’s heaviest loss to Brighton since January 1956 and leaves Sage’s side just two points above the relegation zone.A toxic atmosphere amongst the travelling supporters also saw his players booed off at the final whistle.Assistant manager Paddy McCarthy did his best to calm the situation as Sage was met with jeers from the Palace fans.Despite only being appointed in the summer, the Frenchman could now find himself under pressure at Selhurst Park.Sage under pressuretalkSPORT’s Perry Groves admitted Sage is ‘done’ after the derby defeat.Speaking to Sam Matterface on GameDay Live, Groves said: “I think Sage is going to be demobbed at the end of this game. He’s done.”Alex Crook echoed the sentiment that Palace chairman Steve Parish could soon consider a change in the dugout.He explained: “There was that story earlier in the season that Jaydee Canvot, who scored the own goal today, was left out of the team.Brighton secured their biggest win over Palace for 70 yearsGetty“Steve Parish wasn’t particularly happy with Pierre Sage for that decision. So I think there are signs of cracks in the relationship.“I know Steve Parish came out and did quite an in-depth interview with our colleagues at The Athletic and said it’s going to take time, ‘we’re behind him’, but they are giving away too many chances, no doubt about that.“I fancy Brighton today, despite the fact they’ve got a dreadful recent record in this fixture, because even though they won last weekend against Forest, Crystal Palace, they should have been out of the game by half-time.“It was down to Forest’s wastefulness, really, that they ended up getting all three points in that match.“History tells us that if Steve Parish sees signals that his side are heading for a relegation fight, he will make a change. He did with (Frank) De Boer when he was brought in to change the playing style.“I think that lasted 10 matches, so at the moment, I don’t think the manager is covering himself in glory.”Sage was appointed on a three-year deal in the summerAFPWhat’s next for Palace?Frank De Boer was sacked just four matches into the 2017/18 season after suffering four successive Premier League defeats without scoring a goal.Sage has already seen his side lose four of his nine matches across all competitions.The loss to Brighton followed league defeats against both Everton and Ipswich Town so far this term.Meanwhile, Palace were beaten by Lyon in the Europa League in midweek.They are once again in European action on Thursday as they travel to Turkey to face Besiktas.Palace then host Newcastle United in the Premier League three days later.