Dick Advocaat has rejected the opportunity to become permanent head coach at Sunderland.
The Eagles were stunned by the swift exit of the man who had guided them to Barclays Premier League safety just two days before the start of the new campaign, with Pulis reportedly unhappy with the way the club had done their transfer business in the summer.
Keith Millen took temporary charge against Arsenal, just as he had done when Ian Holloway left last year, but could not guide the team to what would have been a positive end to a difficult week as Palace were beaten 2-1 at the Emirates Stadium by a stoppage-time goal from Aaron Ramsey.
Palace co-chairman Steve Parish indicated the board are looking for someone with experience and who can start ahead of the end of the transfer window - with the likes of former Cardiff boss Malky Mackay, Tim Sherwood, who left Tottenham earlier in the summer, and ex-Celtic manager Neil Lennon among the reported candidates.
Midfielder Jedinak admits the players are hoping for a swift resolution so everyone can look to the future.
"It is a situation which is a little bit difficult to comprehend at the minute, but it is part and parcel of this game and the job we do," the Australian said.
"You see things happen, but it is up to you as a footballer and as a professional to continue on with your job.
"What happens is out of your control and something you cannot have an influence on, you just need to get on with it.
"We did that and I cannot stress how proud I am of the group."
Jedinak continued: "We all know how important it is to get a manager instated at the football club.
"For us it would be ideal (to be a quick appointment), but it is not up to us.
"I am sure the guys above and powers at be know what they are doing and hopefully will get something ready for us in the not too distance future."
Despite the off-field shake-up, Palace remained a cohesive unit against Arsenal, proving difficult to break down, which had become a trademark under Pulis.
The Eagles took the lead through a first-half header from debutant Brede Hangeland, one of the transfers to be completed over the summer.
However, Arsenal were level by half-time through Laurent Koscielny and, after Jason Puncheon was sent off for a second yellow card late on, snatched all three points when Ramsey netted from close range.
Jedinak hopes the Eagles can regroup for another London derby next weekend when West Ham come to Selhurst Park.
"We addressed things as a group on Friday and said that we needed to put in a performance," he said.
"The boys responded extremely well. I am massively proud of what they did, it is just a shame we did not get something from it.
"On the balance of the game we deserved at least a point, but it is something we need to learn from and quickly."
Millen is set to meet Parish on Monday for more discussions, and feels whomever takes over that some fresh talent will need to be injected to the squad.
"We know we can compete at this level but we have got to get more competition for places," he said.
"The players are waiting to be given a new direction on the field and off the field."