O'Neill took the reins of the national team in November and McGeady is hoping to produce his best for his former Hoops boss when the Euro2016 qualifying campaign kicks off later in the year.
"Martin gave me my Celtic debut in 2004 against Hearts at Tynecastle and I scored," he told the Daily Record.
"The following season he selected me almost 50 times.
"He is a top manager and the right man to lead Ireland.
"Martin hasn't had a lot of time to work with us and get his ideas across. But we have a few games planned for the end of the season and that will be beneficial.
"We'll be ready for the qualifiers. Roy (Keane) has also been great and full of encouragement. He is very positive. They are working well as a dugout partnership."
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