Southampton chief Ralph Krueger says the club has been inundated with offers to replace Mauricio Pochettino.
Krueger said the managerless Saints did what they could to retain Pochettino, who signed a five-year deal with Tottenham Hotspur on Tuesday.
And Krueger insists that there are no offers on the table for Adam Lallana or Luke Shaw, who have been linked with big-money moves to Liverpool and Manchester United respectively.
Speaking exclusively to Sky Sports News, Krueger says the club's has already fielded enquiries from all over Europe about the chance to replace the Argentine.
"Les Reed [Saints' football director] is inundated at the moment with requests from high quality managers all over Europe trying to come to Southampton," he told Sky Sports News.
"The scouting and recruiting group that we have is the same group that found Mauricio Pochettino and people asked: 'Who's this guy?'
"We are building a long list which should quickly become a short list.
"Any club that is well-constructed and well-organised is permanently tracking potential managers for a situation such as this."
Krueger refused to talk about any potential replacements with former Basel boss Murat Yakin the bookmakers favourite, although he confirmed that they are open to appointing another foreign boss.
"Being Swiss or German or from England is not relevant, we do not have an official list, but are going to move very swiftly - it does not matter what language, or what ethic background - we are looking for a manager to fit Southampton FC now."
Krueger has wasted no time dwelling on Pochettino's decision to leave, and is looking to the future in finding a successor.
"We don't really need to spend time trying to understand it," he said.
"We are optimistic and we are certain that the foundation remains intact here.
"Southampton is in a strong position and we will continue to move forward."
On the future of skipper Lallana and England left-back Shaw, Krueger said: "Under the circumstances we wanted to wait to clarify the manager's situation to move forward. There are no deals done."