Adelaide United defender Nigel Boogaard has also earned a call-up to Ange Postecoglou's squad.
New Zealand midfielder McGlinchey and left-back Rose will link with the rest of the squad on Friday as the team prepares to take on United in Sydney.
"I am obviously very proud to be selected in the team," United fan McGlinchey said. "It's a massive honour. It's just an added bonus that it's against Manchester United, the team that I've supported so I am looking forward to it.
"I think the A-League's got a lot stronger over the years and I think we're at a good level now where we can test ourselves against these guys and sort of see where we are.
"Hopefully we can put a good performance on and show the world that we're a good league."
Rose said he was relishing the opportunity to test himself against the Premier League champion.
"It will be a fantastic experience and it puts all the hard work from last season into perspective," Rose said. "It's just a great feeling overall.
"I watch these players play on telly week in, week out, it's just going to be a great experience to come up against these guys and to test ourselves."
Boogaard meanwhile said he was delighted by the 'unexpected' call.
"It's a massive buzz, definitely unexpected, and hopefully I can do enough during the week to get a spot on the field, and hopefully do my job," he said.
"It's a massive experience for myself and definitely a privilege to be there.
"If you play for Manchester United you're a quality player, so it will be tough regardless who plays, because you have the likes of Van Persie or Rooney - it will be a massive challenge."