Rashford had been left out of the side for Frenchman Anthony Martial but he came off the bench and met a Henrikh Mkhitaryan corner with a side-footed finish in the 70th minute to set up United's third win out of three.
That duo are without a point after three games - they are 7/4 and 4/1 respectively for relegation with Sky Bet - as de Boer's Eagles are yet to score after a 2-0 defeat to previously winless Swansea and were booed off three matches into the Dutchman's reign.
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"In the Premier League there are many rivals, which are the top six let's say, they will give a hard time for everybody", he said.
After the break, Lukaku had a penalty kept out by the impressive Schmeichel, who achieved a feat his father Peter never managed at Old Trafford in saving a Premier League spot-kick.
He thinks Jose Mourinho could draft in a reliable squad player rather than a glitzy star before Thursday's 11pm transfer deadline. Mourinho said: "It is the same team as they were two seasons ago [when they were champions]".
Huddersfield remain unbeaten and second in the table after dominating their game against Southampton and David Wagner's side are yet to concede a league goal this season. "If you can't celebrate with the fans maybe we should play without fans". At home, they won comfortably [against Brighton and Hove Albion], midweek [against Sheffield United in the EFL Cup] they changed their whole team and they won very comfortably with players that probably, some of them they are not even going to be on the bench tomorrow.
West Ham have lost their first three games for the first time since the 2010-2011 season when they were relegated. The second part was good for him. "Three matches, nine points, is nothing new for us because last season was three matches and nine points". We are comfortable on the ball and unsafe on the counterattack. Here against Leicester too, the moment the Englishman came on for Mata he made an instant impact, scoring the opener after just minute of being on the pitch. "I hope he will be better this season than last".
Leicester City's Craig Shakespear on facing Man United: "They have looked powerful".