The 23-year-old scored the Red Devils' third goal in a 3-0 win at St James' Park with a curling shot into the top corner.
"Yeah, I meant to put it in that far corner," he said when asked if it was his intention to go for goal.
"I looked to the far corner and, whether it's a good cross or obviously a good finish, luckily it's found the net.
"The ball's come back and I've seen the goalkeeper a little bit off his line so I've hit that area. Whether Welbz (Danny Welbeck) gets across and puts his head on it or the ball goes straight in, so I'd say it's a good finish."
The goal against United was Cleverley's first in the Premier League for United.