The Sky Blues' financial plight has been well documented, with the club deducted 10 points this week after the Football League transferred their share to the Otium Entertainment Group.
Pressley insists reports that the star trio will have to be sold are wide of the mark and he told the Coventry Telegraph: "That is categorically not the case. These are three key players for the football club and I am desperately keen to keep all of them.
"I did speak to them on Friday after we received our 10-point deduction but nobody told me to do that. It was entirely a management decision - my decision - and nothing whatsoever to do with financial matters.
"The truth is that I wanted to reassure myself that they are still fully motivated and committed to the club despite the fact that instead of pushing for promotion, as we had hoped, we find ourselves in a relegation battle."