Youth team coach Brett Adams and lead foundation coach Lee Broster resigned their positions last week before a disciplinary hearing into their conduct was due to be held.
A statement released by the League One club said: "Notts County would like to reiterate the club's zero tolerance policy on any form of bullying or intimidation.
"As a club, Notts County are committed to offering a safe and enjoyable environment for all of its employees, both playing and administrative, and want every member of staff to feel comfortable in reporting any incidents that contravene this strategy.
"Recent incidents have brought the club's procedures for dealing with bullying and intimidation under scrutiny, but we are delighted to have received praise for our actions in such matters from both the Professional Footballers' Association (PFA) and the League Managers' Association (LMA).
"Both organisations were involved throughout a recent disciplinary issue and were impressed with how the club dealt with the issues raised, co-operating fully to ensure the most stringent possible investigation was launched.
"Whilst we cannot comment on the specifics of such actions, we would like to assure everyone associated with Notts County that we take any allegations of inappropriate behaviour seriously and will always investigate fully any accusations brought against anyone involved with the club.
"We would like to thank the PFA and the LMA for their support in investigating recent matters and will be looking to involve them in further education of all staff to ensure that Notts County Football Club is an open and inviting company for all of its employees and a credit to our local community."