Lancashire coach Peter Moores and Nottinghamshire's Mick Newell have both declared their interest in becoming the new England head coach.
Moores is one of the favourites to succeed Andy Flower and is on a four-man shortlist along with Nottinghamshire director of cricket Newell, plus current England limited-overs coach Ashley Giles and Trevor Bayliss.
Moores previously served as England coach from May 2007 until January 2009, when the breakdown of his relationship with then captain Kevin Pietersen forced the England and Wales Cricket Board to act.
He is back in the frame now, though, and said on Friday: "I'm a passionate Englishman and the thought of coaching your country is something I'm interested in.
"I'm in the process so I suppose it depends what happens - I'm very conscious that I'm in a job now that I've loved and I still love.
"There's an excitement to have another go at it, and a frustration at the last time because in some ways you always have a vision when you're doing any job of where you want to go.
"There's a draw to go back and work in that environment because you're working with great players and it's a very exciting place to work.
"It's obviously an interesting time at the moment. It's been a tough winter and it would be an interesting challenge if it came along."
Newell also spoke on Friday morning about what he would bring to the England job, if chosen for it.
"I want to bring an atmosphere of relaxed professionalism into the dressing room," he told Sky Sports News at Trent Bridge.
"I think that is what I have done here for the past 12 years. I'm used to building and rebuilding teams. That's what I've had to do over the past 12 years - changing players and changing staff and I've got an awful lot of experience to bring.
"That's what I hope to put on offer.
"It's been a very difficult winter. Nobody is going to say it's been a great winter for English cricket, but just think back six or eight months when we won the Ashes 3-0 and we were playing some really good cricket.
"I believe that the talent is there and the player potential is definitely there. It just needs the new coach to put a few things right and I'm sure that'll be done."
Moores' departure would come as a major blow to a county whom he led to an improbable County Championship triumph in 2011.
Under Moores' guidance, Lancashire also returned to the top division last summer and are due to begin their new campaign at Trent Bridge this weekend.
Moores had been effectively driven out of the England role five years ago after a series of high-profile clashes with Pietersen, whose own central contract has since been terminated following this winter's disastrous Ashes series.
Concerning the decision to effectively end Pietersen's international career, Moores said: "I can't really say anything on it because I wasn't involved in it.
"I can only look at it from afar and it's been well written about. There were decisions that had to be made and I know those decisions wouldn't have been taken lightly. They must have been tough decisions."
Giles had widely been considered the favourite to take charge of England in the wake of Flower's departure but his link with England's disastrous Twenty20 campaign in Bangladesh has seen Moores' name increasingly move to the fore.
And Lancashire cricket director Mike Watkinson admitted earlier this week that Moores' potential return to the international fold was an inevitable part of the sport.
Watkinson said: "It's not the first time and it won't be the last.
"It's a way of the world that if you have gone out there and recruited someone who you think is one of the best coaches available - which we have - then it is only natural that he will be linked to other positions when they come up."