McCullum was sacked as England's red-ball coach after a series defeat at home against New Zealand earlier in the summer but then oversaw a T20I and ODI victory against India.
England have the 2027 ODI World Cup to plan for and will need to work with the new mentor in the longest format with players needing to manage their workload management.
McCullum was sacked as England's red-ball coach after a series defeat at home against New Zealand earlier in the summer but then oversaw a T20I and ODI victory against India.
England have the 2027 ODI World Cup to plan for and will need to work with the new mentor in the longest format with players needing to manage their workload management.
Andy Flower has already ruled out of the job, while names such as Justin Langer and Jonathan Trott have been touted for the England Test job.
McCullum said: "Once the new coach is put in place, I think we'll have a good conversation around everything. Ultimately, as long as everyone wants what's right for English cricket, then there'll be some give and take on certain things, and that's just the way it is.
"There'll be situations where you do have to give and there's situations where the Test coach will give as well. Fundamentally you're trying to just get what's right for English cricket, and I look forward to those conversations when the time comes."
McCullum is buoyed by how the team is building towards next year's ODI World Cup while they also beat India 4-0 i the five-match T20I series.
"Obviously T20's going pretty well at the moment," McCullum said. "But we made a bit of a pivot in that Sri Lankan series where we decided we needed more variation across our squad.
"And you look down at our line-up now, we've got left-handers, right-handers, we've got touch players, we've got power players. We've got seam bowling all-rounders, left-armers, we've got legspinners, left-arm spinners, offspinners. We've got a lot of variation."
England smashed the highest one-day international total ever recorded at Lord's before holding off a spirited India chase to secure a 27-run victory and a 2-1 series triumph over the world's top-ranked side.
Darren Lehmann believes Justin Langer would be a strong choice to become England's next Test coach, but insists he has not been approached for the role himself despite speculation following Brendon McCullum's dismissal.
Andy Flower has ruled out the possibility of replacing Brendon McCullum and becoming England's next Test coach, insisting he is happy with the work he is doing in T20 franchise leagues.
Jonathan Trott, who has been linked with the England Test coaching job, will join the Ireland staff as a consultant ahead of their ODI series against Afghanistan next month.
