Hogan stepped down last night, a week after the GolfGate controversy broke, saying it his decision to resign and the row had become a distraction from his work.
Commission President Ursula von der Leyen said she "respected" his decision and wished him well.
Attention now turns to who will replace him, with former Tánaiste and current Foreign Affairs and Defence Minister Simon Coveney already strongly tipped for the role.
Mairead McGuinness and former commission official David O'Sullivan have also been linked to the job.
Labour Party leader Alan Kelly says the government needs to try and keep the Trade portfolio in Irish hands.
