Prior to that he had won the Eredivisie four years in a row, between 2011 and 2015.
His only win as Palace manager came in the EFL Cup against Ipswich Town.
When asked for his reaction, Chelsea boss Antonio Conte said: “I am sorry for him. You ask for a bit of time for your work.”Should Hodgson take the job on a permanent basis, he will be the club’s seventh permanent manager in six years.
Palace chairman Steve Parish was at Turf Moor on Sunday, and said afterwards: “It’s a terrible start but we have to stick together.
“People are frustrated, I’m frustrated, so are the management and players. We know we are better than this.
“I’m defending everyone at the club who is working their backside off to turn this around. Football teams lose games. It happens.
“Who has the better squad, us or Burnley? We had a much weaker squad when we finished 11th. The buck stops with me; I’ve never run away from that.”Speaking earlier this month, Parish had said De Boer’s start had “not been great” and football was a “results-based business”.
De Boer made two major signings at Palace, paying £26m for Liverpool centre-half Mamadou Sakho and signing Ajax defender Jairo Riedewald for £7.9m.
He also recruited full-back Timothy Fosu-Mensah and midfielder Ruben Loftus-Cheek on loan from Manchester United and Chelsea respectively.