Former Southampton boss Lawrie McMenemy has recommended some local names to succeed Ronald Koeman.
Writing for the Daily Echo he said: "At present there are so few around but the names mentioned I wouldn't knock back at all.
"Eddie Howe, obviously, but I am sure Bournemouth will hold on to him as tight as possible.
"Steve Bruce, four years at Hull with ups and downs and who has got them back in the Premier League, but it appears from a distance things may not be settled as after winning promotion he said he needs to look at his future.
"Mark Hughes at Stoke City. With due respect to them Southampton are a bigger club, but Stoke have an owner, Peter Coates, who will do everything to hang on.
"Even Alan Pardew, who wherever he has been has done a good job.
"I am sure the supporters I listened to would not mind a British manager coming in whether we stay in Europe or not."