However, O'Connell, 33, had only positive words about Schmidt on Monday.
"We've only had a small number of sessions with him but they have been really enjoyable," said O'Connell.
Ireland coach Joe Schmidt says the current format of the Heineken Cup should be 're-jigged' to ensure its continued existence
"Any time you work with someone new and as successful a coach as Joe Schmidt, it is always a good thing.
"Joe has a tried and trusted way of running his coaching staff and running the teams he coaches, and you look at the success he has had with Leinster over the last number of years and it is hard not to trust that."
Back in April, Schmidt made clear his unhappiness that Munster star O'Connell had not been cited after connecting with Leinster player Dave Kearney's head while attempting a fly-hack upfield.
New Zealander Schmidt had emphasised his respect for "top-quality bloke" O'Connell but added: "In 12 years of professional coaching, I don't think I've ever seen a contact like that."
But there was no hint of any tension between 85-times capped O'Connell and the new Ireland coach on Monday.
"This is our first time working with John, and he has a great rugby CV, having worked in so many great places, particularly Wellington and with the Sharks (in South Africa) for the last number of years."
This page is best viewed in an up-to-date web browser with style sheets (CSS) enabled. While you will be able to view the content of this page in your current browser, you will not be able to get the full visual experience. Please consider upgrading your browser software or enabling style sheets (CSS) if you are able to do so.