The Sweden international scored the winning goal in the Community Shield against Leicester City and has now warned opposition defenders that he will only improve
Ibrahimovic's goal proved decisive at Wembley on Sunday, his header with seven minutes remaining lifting United past the Premier League champions.
However, the 34-year-old Swede says he is still working his way back to full fitness after his Euro 2016 exertions, and believes he will improve as the season progresses.
"It feels good to be in Manchester United and this is what counts," Ibrahimovic explained to MUTV.
"My individual performances will come. We're in the beginning and building up my physique, my conditioning, and I am yet to know the team-mates.
"When all these things are settled, things grow easily. You can then just play your game and enjoy.
"Things are coming together. We're in the beginning and we're just getting to know each other, especially with me. That is new and we won today and hopefully we can win more."
Ibrahimovic, who scored in United's friendly win over Galatasaray last month, and Jose Mourinho's men open their Premier League campaign at Bournemouth on Sunday.