The 20-year-old found the net during his senior Republic of Ireland debut against Oman last night.
With that in mind, the former Hull City loanee has revealed that he is open to prospect of temporary switch.
"I want to stay playing [for Ireland]. I don't want to come in and doss about so I need to be playing as many club games as I can," Brady told reporters.
"If that means I need to take a loan move, I will. We'll see what happens. I'd just like to play as much football as I can."
Brady has yet to feature for the United first team.