The former midfielder has questioned the players' development under Roberto Martinez.
The Spaniard is under increasing pressure at Goodison Park, with his side languishing in 11th in the table.
They are unlikely to finish in the top half of the table, a position that many believe is far below the level a squad of their ability should be competing at.
Several players, such as John Stones and Ross Barkley are currently struggling to find their best form in the side, and Savage says his major worry is that they are not progressing under Martinez.
“How any of the players have improved under Roberto Martinez, especially the youngsters?,” he told BBC Radio 5 Live 606.
“John Stones had a reported [price of] £50million and then was on the bench. That’s the thing that I’d worry about, that those players haven’t actually improved.”
“When you’ve got one of the best squads you’ve had in a very long time and finish in the bottom half of the table, I don’t think it’s good enough.”
John Stones is the perfect example to demonstrate Savage’s point given how he has struggled this season.
While his ability on the ball has not been questioned, it is his defensive knowledge that has come under scrutiny as many wonder if he is getting the training he needs.
That comes from Martinez, with the suggestion that the Catalan’s preferred style is actually to the detriment of the defender’s progress at present.