Former Barcelona ace Laudrup has enjoyed a superb debut season at the Liberty Stadium so far, leading the Swans to Capital One Cup success on Sunday in a 5-0 final win over Bradford at Wembley, while also keeping the Welsh side on course for a top-10 finish in the Premier League on their second season in the top-flight.
The Dane's work in South Wales has seen him linked with a high-profile summer move, with Real Madrid thought to be keen on him as a successor to Jose Mourinho at the Bernabeu, while Chelsea are also reported to be interested.
While Dyer, who scored a double in Sunday's final in a match-of-the-match winning display, says the club would be loath to lose him, the winger insists life would go on after already seeing Roberto Martinez, Paulo Sousa and Brendan Rodgers depart on their road to success.
He told The Sun: "Having the right manager is very important but we have the players who can play quality football.
"Every manager brings in different things. Michael Laudrup was an amazing player. The experience and knowledge he's brought in has been unbelievable.
"But it's not like just because we lose a manager we are going to be fighting relegation. That makes no sense.
"You know the boss will attract interest. It's a fairytale for Swansea to have come from the lower divisions, to win a cup final and be in the top 10 of the Premier League.
"But since I've been here the chairman has had four different managers and he's brought in the right guy every time.
"We've never taken a step backwards. He knows what he's doing."
Dyer has praised Swansea chairman Huw Jenkins for standing by the passing philosophy which has served the club so well.
Sunday's victory capped the South Wales club's astonishing rise from the foot of the Football League to the top half of the Premier League in less than 10 years, a climb overseen at every step by the chairman.
Jenkins, part of a consortium of local supporters and businessmen who saved the club from oblivion in 2001, has shown himself to be a shrewd judge of managers and their ability to fit in with his desire to see Swansea adhere to their attractive style.
Dyer added: "The chairman likes the philosophy and so do the fans so he will always find someone who wants to play good football, and as long as we do that, we will do well."