The midfielder - who swapped Hearts for Ibrox in the summer - netted the opener in a 4-0 win over Queen's Park in the Third Division.
Black has admitted to being unhappy with his form this term but hopes his first Rangers goal can spur him on.
He said: "It was my first goal and I'm just delighted for the team mainly. I just hope I can pop up with a few more.
"I've had a few efforts and I've just been unfortunate so it was a case of getting the first one. Hopefully I can kick on."
Black was delighted to help Rangers bounce back in style from their Scottish Cup exit at the hands of Dundee United last week.
He added: "We knew we had to come out and give a reaction. It was disappointing for ourselves and the fans so we knew we had to come out and play well.
"I thought the boys did that really well. We played well in the second half, knocked the ball about and the second goal, especially, was a really good team goal.
"It was good to see and there is a lot of confidence, especially after last week."
Black, in particular, was criticised after picking up a red card late in the game at Tannadice, as the Light Blues slumped to a 3-0 defeat.
He said: "The people who write stories are always going to criticise me. I thought it was a bit harsh with the sending off.
"I'm just delighted to play well in this game for the fans and the team and to score a goal.
"They say I've got a track record but there are certain individuals who just love to stick the knife in. I'm big enough to deal with that.
"If you watched it, you saw their players as well pleading with the referee so I think the people who are criticising should look at the great honesty from the opposition and that says it all."