Derry City boss Ruaidhri Higgins reportedly turned down the chance to be considered for the Notts County job.
The Magpies are searching for a new head coach after Ian Burchnall left the club to take over at Forest Green Rovers. The board of directors have said the process could take "at least a couple of weeks" as they strive to find the right candidate.
A number of possible contenders have been mentioned, and Independent.ie reports that Higgins "was sounded out to see if he would be interested after being identified as a strong candidate". It is said that the 37-year-old would fit the bill based on the style and approach of his current team, who play in the League of Ireland Premier Division.