Ogbene has been called into Stephen Kenny's squad for the forthcoming games against Andorra and Hungary.
Ireland face the Andorrans in Barcelona on June 3 and take on Hungary in another friendly in Budapest five days later.
The 24-year-old Nigeria-born player, who was brought up in Cork and has previously played for League of Ireland sides Cork City and Limerick, was sidelined for much of 2020-21 following knee surgery, but returned for the run-in.
He featured eight times during a congested end to the season for the Millers and he is now eyeing a full international bow at senior level.
He said: “As I’ve said previously, I believe in myself and I think that the Rotherham players and the coaching staff believe in me too. I’m extremely grateful to them for helping me through such a difficult season with my injury and subsequent rehab.
“This was the first long-term injury that I have had in my career and it was a huge shock to me initially and it felt like a long road back, but being selected for Ireland really does feel like a reward for all the hard work.
“Of course, I am absolutely delighted to receive this call up to the Republic of Ireland national team, the thought of representing Ireland and sharing a pitch with the calibre of players we have at our disposal is a real honour and a privilege for me.
“Now, I’m just looking forward to the friendlies and can’t wait to meet up with the rest of the team and get going.”