The Dane has enjoyed an impressive debut year at the helm of the south Wales side, leading them to the top half of the Premier League and securing the club's first major silverware with victory in the Capital One Cup.
Thanks to his success this term, a recent poll of 40,000 Real Madrid fans run by Spanish newspaper AS revealed that 78 per cent want the Dane to succeed Jose Mourinho at the Santiago Bernabeu.
But Dyer, who has seen Paulo Sousa, Roberto Martinez and Brendan Rodgers depart during Swansea's meteoric rise, believes the club would survive such a blow.
“Since I’ve been here the chairman has had four different managers and he’s brought in the right guy every time," told reporters. “We’ve never taken a step backwards. He knows what he’s doing.
“It’s not like just because we lose a manager we are going to be fighting relegation. That makes no sense. 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.
“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."