The former England international has told Yorke he was never going to be considered by Aston Villa.
Speaking to Talksport on Wednesday, Yorke cited Frank Lampard, Steven Gerrard, Joey Barton and Lee Bowyer as examples of ex-players who have recently embarked upon their first managerial roles, and urged Villa to take a similar chance on him after sacking Steve Bruce.
"I think Villa need to think outside the box, because they’ve tried everything over the past five years. Why not me?", he asked.
"I’ve seen the likes of Lampard, Gerrard, Barton, Bowyer – what have these guys got ahead of me that I haven’t got?"
But Palmer, who had a brief spell in management with Stockport County and Mansfield Town, has told Yorke he was never going to be considered by Aston Villa.
"The #Macclesfield job is available has he applied(?)
I heard #dwightyorke on #talksport talking about the #AstonVilla job .was never going to be considered . #darrenmore was assistant manager and coach , #franklampard coaching at #Chelsea #leebowyer coaching at #charlton . The #Macclesfield job is available has he applied— Carlton Palmer (@CarltonPalmer) October 11, 2018
Palmer's comments come just hours after Yorke was ridiculed by another ex-player in Kevin Davies.
"Would hope he turned up for more training sessions than he did on his A Licence," tweeted the former Bolton Wanderers striker.
Would hope he turned up for more training sessions than he did on his A Licence ⛳️️♂️️♂️⛳️— Kevin Davies (@Kevin__Davies) October 10, 2018
Aston Villa later confirmed the appointment of Dean Smith as Bruce's successor, with the former Villans captain, John Terry, returning as number two to the ex-Brentford boss.
The former Valencia and Atletico Madrid director of football, Jesus Garcia Pitarch, has also arrived as part of Villa's new-look management team.
Did Aston Villa make the correct call appointing Dean Smith?