Media reports said former England manager Roy Hodgson was in line to replace De Boer at Selhurst Park.
It took 10 Premier League games for the first cracks to appear in Manchester City's facade last season, but Pep Guardiola got a much earlier reminder of his side's fall from grace on Saturday in another defeat to Tottenham Hotspur.
A summary of Saturday's action in the Premier League.
First-half goals by Jakub Kiwior and Leandro Trossard looked like being enough for a lacklustre Arsenal against a lively Palace side who equalised with an Eberechi Eze volley.
Chelsea kept up their pursuit of the Premier League's top three clubs with a 1-0 win away to London rivals Crystal Palace on Sunday, thanks to a strike by N'Golo Kante early in the second half.
Aston Villa skipper Stilian Petrov headed an equaliser three minutes from time to force a 2-2 draw at Championship side Crystal Palace in an outstanding FA Cup fifth round tie Sunday.
Liverpool end victorious season with 1-1 draw with Crystal Palace
Chelsea clinched their first Premier League title for five years with a 1-0 victory against Crystal Palace at a jubilant Stamford Bridge on Sunday.
Robin van Persie and Wayne Rooney were on target as Manchester United secured a 2-0 home win over 10-man CrystalPalace on Saturday with a workmanlike display that will have done little to worry their Premier League title rivals.
The commanding scoreline in the cross-town London derby came despite Chelsea's midfield talisman Cole Palmer being ruled out after he felt discomfort on the pitch during the pre-match warmup.
Mikel Arteta scored Premier League leaders Arsenal's first goal in a 2-0 win over Crystal Palace on Saturday but was later sent off in the early kickoff in south London.
Millwall goalkeeper Liam Roberts has had his suspension for a high-footed challenge on Crystal Palace forward Jean-Philippe Mateta extended to six matches, the FA said on Friday.
Second-tier side Crystal Palace stunned Premier League champions Manchester United to win 2-1 after extra time in their League Cup quarter-final at Old Trafford on Wednesday and set up a semi-final against Cardiff City in January.
Liverpool's Dominik Szoboszlai struck the first telling blow in the Premier League title race with a dazzling free kick late on giving his side a 1-0 victory over rivals Arsenal.
Lewis-Skelly gets England call-up; Recalls Rashford, Henderson return.
Liverpool striker Christian Benteke is having a medical before completing his move to Crystal Palace, the London club's manager Alan Pardew said on Friday.
Winning back-to-back titles for the first time since 1984 is likely to prove a rather more arduous challenge for Liverpool.
Alan Pardew's dream of reprising a celebrated 25-year-old FA Cup triumph was scuppered by Liverpool as the seven-times champions came from behind to book a place in the quarter-finals with a 2-1 win at Crystal Palace on Saturday. This year's shock-laden competition had continued with second-tier Blackburn Rovers' 4-1 thrashing of the Premier League's Stoke City.
A round-up of Saturday's action in the Premier League.
Liverpool's Salah named Premier League player of the season, Gravenberch best youngster
Newcastle United registered a 2-0 home win over Chelsea on Sunday that moves the Magpies a step closer to Champions League football next season.
IMAGES from the Premier League matches played on Sunday.
A round-up of Saturday's fifth round action in the FA Cup
Brighton & Hove Albion substitute Jack Hinshelwood struck a late winner as the hosts came from behind to grab a 3-2 victory over champions Liverpool.
Ange Postecoglou ultimately paid the price for an horrendous English Premier League season which saw Tottenham finish 17th.
Arne Slot is the first to win the top flight in England where many of his compatriots have suffered dents to their reputations over the years.
A round-up of Saturday's action in the Premier League.
A round-up of Saturday's action in the Premier League.
A round-up of Tuesday's action in the Premier League.
IMAGES from the English Premier League matches played on Saturday
City then comfortably closed the game out and victory in their record-extending seventh consecutive FA Cup semi-final means they will face Crystal Palace, who beat Aston Villa 3-0 on Saturday, in the final on May 17.
Aston Villa striker Marcus Rashford scored twice in a 3-0 defeat of second-tier Preston North End in their FA Cup quarter-final at Deepdale on Sunday to earn a Wembley semi-final against fellow Premier League team Crystal Palace.
Jarrod Bowen converted a last-gasp penalty to lift West Ham United to a 2-1 Premier League victory over Manchester United in a fluctuating clash between two struggling sides on Sunday.
Selhurst Park continues to prove a bafflingly tough place to play for United, who have not won there in their past five games and have just one goal to show for that stretch.
The win guarantees Japan a top-two finish in the standings and sees them qualify for an eighth straight World Cup.
Images from the English Premier League matches played on Saturday
A round-up of Saturday's action in the Premier League.
Liverpool booked their berth in the League Cup semi-finals with a 2-1 victory over Southampton
Chelsea won for the first time in six Premier League matches when they beat relegation-threatened Wolverhampton Wanderers 3-1 at home on Monday.
IMAGES from the English Premier League matches played on Sunday