Ryan, 32, has secured a move to the Serie A after leaving Dutch club AZ Alkmaar during the off-season transfer window.
The Italian club had been looking for an experienced keeper as an alternative to Belgium-born, Serbian international Mile Svilar ahead of the new season beginning in August.
But Socceroos coach Graham Arnold says his captain has no intentions of settling for number two and expects Ryan to get game time at club level as World Cup qualification matches loom for Australia.
“I spoke to Maty before he signed,” Arnold said on Wednesday.
“It’s 50-50. He’s not going there to be a second keeper at all. He’s going there to be number one.
“They’ve got a young Belgian keeper at this moment in time, and they wanted a top experienced goalkeeper, so Maty is going there.
“He’s got a strong belief in himself and he’s expecting to go there and play.
“A club like Roma, they’re going to play 60-odd games this year with Champions League, and obviously the Serie A and cup competitions.
“And then we’ve got in this calendar year 10 international games, so that’s 70 games.
“If he gets 30, we’ll be very happy.”
AAP