Sir Alex Ferguson still views the Irishman as a winger but the departure of Fabio, on loan to QPR, and Ezekiel Fryers, has prompted the boss to look at fresh cover for first-choice Patrice Evra.
Brady played in the role in Durban during the 1-0 win against AmaZulu and thoroughly enjoyed the experience.
"It was brilliant," he told ManUtd.com. "It's an amazing experience for me to come away and start. I was a bit nervous to begin with but, as the game went on, I felt more comfortable and really enjoyed it.
"After the press conference, I had an idea I was going to play and, when I got the confirmation, I was over the moon. I didn't see [what the manager said] myself but what I heard was good and I'm delighted about that. It gave me more confidence going into the game.
"It's new to me at left-back but, like I've said, I'm enjoying it. They've been moulding me for the last two weeks into being able to start in that position. Hopefully, I can get better as it goes on. I suppose, if I keep on progressing, I'd like to try and take it [a regular first-team spot] at some stage.
"Rio [Ferdinand] was keeping me in my place. I had a couple of ropey moments in the game but he talked me through it and I felt more comfortable as the game went on. With probably my best mate, Scott Wootton, coming along too, it was great for me to play with him as we came through together and I've known him since day one.
"So I hope to keep on pushing and play better in the next couple of games and get as close as I can