Anguissa's second yellow came one minute after Kamara slotted in a penalty for Fulham, and while Ranieri disagreed with the decision - which came after the midfielder challenged Rashford - he said he would not have words with the referee.
Fulham are bottom of the Premier League having lost a whopping ELEVEN of their 16 league games this season.
The victory saw under-fire boss Jose Mourinho get back to winning ways in a week which has seen his own future at the club questioned.
However, he created both of United's goals in the 2-2 draw at Southampton and has really impressed both fans and Mourinho with his selfless work-rate for the team of late.
They did emerge from the bench as second-half substitutes as United sought a late victor, but their introduction saw the energy levels dip, with the Gunners looking the most likely to score towards the end.
The first half was a comedy of errors for Arsenal, with strikers Aubameyang and Alexandre Lacazette missing clear opportunities and midfield lynchpin Granit Xhaka frequently passing the ball straight to the opposition. We didn't play, we had to play harder, stronger because United showed quality, passion, desire, everything, and we had to do the same.
"I want to be positive and say we are going to win, but we have to give credit to [Fulham], it will not be 11 against zero". At times it was handsome football.
"But this was not the problem, the problem was the first half". In the first half it was a warm-up, the second half was much better.
"I think Fred [will play more], when the team is defensively stronger and doesn't need in midfield people that are more anxious about giving some balance to the team than being involved in creation and attacking dynamics".
"A few factors made the second half not as good as the first". With the ball it was simple, one or two touches.
"Now we have two away matches, then two at home".
"We needed it. The last three matches we didn't lose, but didn't win". Let's see if we can get more points from those matches.