The 20-year-old winger came off the bench and scored in the 91st minute to grab a 2-2 draw and prevent the Red Devils from slipping to a third defeat in four games, with former Osaka hero Shinji Kagawa also getting on the scoresheet.
Zaha credited manager David Moyes and his new team-mates for helping him to settle in to the squad, and believes the experience will benefit him when he sets about trying to win a role in the starting XI next season.
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"It's all about the gaffer [Moyes] really as he's given me chances to prove myself and play with the likes of Rio [Ferdinand], Giggsy, Van Persie and Welbz [Welbeck].
"I've enjoyed it and it's a great chance to meet everyone and bond with the team. They have made me feel at home. Everyone encourages me and supports me so it's cool - I feel like a Manchester United player."
Despite the oppressive heat at the Nagai Stadium forcing the referee to call for a drinks break in each half, Zaha stated it could have a positive effect on the start of United's season if the players are already playing in tough conditions.
"It was too hot! Every minute I was trying to get to the bench to get water," he continued.
"It's good practice so when we go back to the Premier League it'll be easier. It's been great. Just playing time is all I wanted and hopefully I'll get that in the season to come."
Moyes praised Zaha's performance after coming from the bench to score, saying the youngster deserved the goal for an impressive cameo, and was pleased with his side despite their failure to win yet another pre-season outing.
"I think he's done well in all the games, so we've been really pleased with what he's done; he's settling in and getting to know everybody and again I think tonight will help," he told MUTV.
"It was a well-worked goal, and Anderson squared it for him to finish off so he deserved it because he did have a good impact.
"If we had lost it, it wouldn't have been correct because we played really well tonight, probably the best we've played on tour, and I was pleased with the players tonight," he added.