Following a disappointing London 2012 in the pool for Great Britain, where the hosts won just three medals, McNulty has been installed as British Swimming head coach on an interim basis after Dennis Pursley departed.
McNulty now leads Great Britain's 19-strong team in Istanbul but has ruled out doing so full-time, instead wanting to stay in charge of British Swimming's intensive training centre in Bath.
But McNulty does have an idea as to who should be installed in the role, putting Bill Furniss, who helped Rebecca Adlington to double gold in Beijing 2008 and two bronze medals this summer, and Chris Nesbit, who led England to 34 swimming medals at the 2010 Commonwealth Games, forward as his ideal candidates.
"I love coaching day-to-day and I think we can achieve even more at Bath over the next four years," said McNulty.
"For me Bill Furniss and Chris Nesbit would both be ideal [as the new boss].
"They [Furniss and Nesbit] are guys who I have respected over the years.
"For 20-30 years they have consistently produced great swimmers and they have the respect and clout of every coach in Great Britain."