O'Shea and Sir Ian McGeechan have been linked with a role as Premiership Rugby representatives on the five-man committee charged with suggesting Martin Johnson's permanent successor.
The panel will be chaired by the Rugby Football Union's new chief executive Ian Ritchie, who took office on Monday after joining the organisation from Wimbledon.
The Twickenham representatives on the so-called 153 committee are reported to be Rob Andrew, the RFU's professional rugby director, and head of elite coach development Kevin Bowring.
The RFU and Premiership Rugby want to conduct the process behind a wall of secrecy with neither organisation prepared to confirm officially who will be involved in the selection of the new England coach.
O'Shea said: "Within the agreement (between the clubs and the RFU), Premiership Rugby are going to have an input and if the ones nominated are myself and Geech (McGeechan) then I'd be delighted and will be delighted to be part of that process.
"I will leave the process to take its path and be involved as and when I am asked."
O'Shea would appear to be well-equipped for a role on the panel, given he spent three years as the RFU's regional academy director before joining the English Institute of Sport.
The former Ireland full-back was considered a potential candidate for the national job before committing his future to Harlequins, where he has built a side with the largest English representation in the Premiership, including England captain Chris Robshaw.
England's current interim coach Stuart Lancaster has applied for the full-time job along with, it is believed, the former South Africa Italy coach Nick Mallett and ex-Ireland boss Eddie O'Sullivan
Lancaster is enjoying a live audition, having led England to RBS 6 Nations victories over Scotland and Italy followed by an impressive performance in last weekend's 19-12 defeat to Wales.
The 153 committee will have to weigh up Lancaster's impact on the England set-up, which has impressed Twickenham executives, with the international and World Cup coaching experience of candidates like Mallett.
The panel would then make a recommendation to the RFU board, who would have the final say on the recruitment of the coach that will lead England into the 2015 Rugby World Cup on home soil.
O'Shea has defended the Premiership Rugby's role in the process, whic has been questioned given the England coach will be an RFU employee.
The two organisations work together on managing elite rugby through the Professional Game Board and O'Shea said: "I think the principle of Premiership rugby being asked their opinion is good because it is vital the 12 clubs and national team are working together.
"Hopefully, whoever does have input into the end will have the right input."
Gilbert has released a new line of rugby cleats. The Gilbert Virtuo 8S is part of the exciting new product. Check it out.
The entire All Blacks apparel line has been updated for 2013/14. Check out the New Zealand All Blacks polo.
The Nike Tiempo is a solid rugby cleat and one of few styles still made from full-grain natural leather.
The Gilbert Blitz 8S rugby cleat is a great cleat at a great price of $69.99. Get a new pair of cleats today.
A cool looking all black rugby cleat with the high performance adidas is known for. Get in the Gear!
Wear the crest of the British and Irish Lions on your t-shirt. A great look for the summer.
The All Blacks Performance t-shirt is black with hints of blue from the training jersey. Very Cool.
The New Zealand All Blacks training jersey for 2013/14. Get in the Gear!
The USA Rugby Pro Alternate rugby jersey is perfect for any fan of the Eagles. Get yours to wear during the summer Test matches.
The NEW All Blacks 2013/14 jersey has arrived at World Rugby Shop. Dare to wear the colors of the All Blacks.