Pickford was positive in his assessment of Everton's performance at Old Trafford, stating also that he felt United penalty decision was dubious.
And, after Martial had scored a second to continue his recent fine form, Everton won a penalty of their own, converted by Gylfi Sigurdsson, to ensure United faced an anxious 13 minutes before the final whistle.
He said: "I am happy again".
"I like the fact he wants to take the penalty but maybe he needs to change his approach".
"I think Pogba is one of the best players in the world, so it would be wonderful [if he came back], but he is at Manchester [United] and therefore talking about it is futile".
He said: "We needed to win, we needed points".
Everton boss Marco Silva accused Martial of having dived to win the penalty from which United took the lead, after the Frenchman went down under contact from Idrissa Gueye who appeared to have played the ball. "I always shoot like this and that's how I know how to take penalties", Pogba told Sky Sports. I know referees can make mistakes and it is clear, it was no penalty.
Lukaku, dropped after an eight-game scoreless streak, might find himself on the bench more regularly after Martial and Rashford proved United can pose problems without their first-choice centre-forward.
There was no dispute about Martial's second goal, after 49 minutes, as he gathered a short pass from Pogba and curled a superb 18-yard shot past Pickford.More news: Victims of Pittsburgh shooting identified
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Everton spurned a glorious chance to reduce the arrears and get back in the game as Richarlison found Sigurdsson and he released Bernard to run in and round De Gea before inexplicably hitting the side netting with the goal gaping.
"We are playing OK", Mourinho said. Some teams without the ball, can resist and keep a clean sheet all the time.
"For us it is nearly an impossible mission to keep a clean sheet even with the phenomenal goalkeeper we have and to score goals is really hard for us".
"And to score goals is really hard for us - you can see that in this moment".
Lukaku has not scored for his club since September 15 and manager Jose Mourinho has taken the decision to leave him out of the team to face his former club.
Chelsea midfielder, Cesc Fabregas in a latest statement has not ruled out a possible return to his first English Premier League club, Arsenal, once his current deal with Chelsea lapse.
"Let me choose the words carefully because I don't want to be punished".
"The last ball of the game is a corner and anything can happen but we played well and in some periods we played very well". The performance was solid and in some moments attractive with creative possession.