Manchester United put four past Chelsea at Old Trafford last weekend but were outplayed for large parts of the game.
The Blues hit the woodwork twice and were only 1-0 down at half time due to Marcus Rashford’s early penalty.
And despite being in control for the early parts of the second half, Chelsea eventually unravelled as Anthony Martial, Rashford and Daniel James added three more goals.
But Pallister feels the end result failed to truly reflect how United played.
“It did flatter us, especially the first half performance,” he told American Gambler.
“We never really seemed to get out of the blocks and Chelsea seemed more dominant and the more likely team to score.
“So it was a bit concerning, but as the game went on, we grew into the game and we played that counter-attacking style of football that we’ve become accustomed to United teams play over the years.
“Ole’s talked about implementing it into his side and it worked really well against a Chelsea side that was looking to get back into the game. It was great seeing pace and power working for a United side at Old Trafford.”
United failed to qualify for this season’s Champions League after finishing outside the top four in the 2018/19 campaign.
And Pallister, whose career spanned nine years, believes Ole Gunnar Solskjaer is still trying to find his feet as United boss, stating that he’s only had one pre-season to instil his values on the team.
“It’s still a work in progress with Ole and he’s trying to put his stamp on this team, and he’s been working really hard in pre-season,” he added.
“He’s talked about fitness levels, he’s talked about desire and he’s trying to implement all of these things; that passion of playing in a United shirt, that you don’t give in until the final minutes.
“You’d expect a United team to have all of those traits but it’s a work in progress, and it’s a start.
“On paper it looked a very difficult game for United having Chelsea but they are trying to bed in a new manager, there have been changes there with the transfer embargo and Frank is very much in Ole’s shoes that he was in a year ago.
“It’s a great start; the four goals were fantastic and we look like we have goals in the team, but you have to be realistic and say that it wasn’t the complete performance.”