Middlesex declined to respond formally when approached by BBC Sport but are open to meeting with the group.
They will begin the new campaign under a new coach after former New Zealand batter Peter Fulton was appointed in February.
Richard Johnson left last June after a run of poor results and Dane Vilas had been in interim charge since.
The letter comes at a tumultuous time for the Lord’s-based club – and follows financial issues at Sussex and a reported revolt by former players at Lancashire, external.
As part of a view to securing private investment, Middlesex are looking into moving away from their current home where they have been long-standing tenants of the Marylebone Cricket Club (MCC) for 160 years.
Though they have made recorded profits since, they were fined for breaches of financial regulations in 2023 amid financial struggles.
Chief executive Andrew Cornish is currently on a leave of absence, external amid an investigation being carried out by the Cricket Regulator. The absence of a CEO makes decision-making at board level difficult.
In the letter, the former Middlesex players are critical of the fact only one member of the club’s board, former England bowler Steven Finn who joined in 2024, has playing experience in first-class cricket. It is understood no other players have applied in recent years.
Radley, Emburey, Selvey and Ramprakash have all had stints as Middlesex president since 2013. Gatting was on the club’s board until recently.
They have called on the club’s members to attend this month’s Annual General Meeting “in numbers” to “seek answers”.
Middlesex committed to a governance review at a recent members’ forum.