The 16-year-old defender has played for Wales at under-16 and under-19 level.
He was named in Wales boss Chris Coleman's senior squad for their World Cup qualifier against Serbia in May, but did not play and is uncapped.
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Ampadu made 13 Exeter appearances in 2016-17 and they hope to earn a fee for the player who came through their academy.
The versatile defensive midfielder was named as the Dragons’ best young player of 2016.
Dad Kwame was also a professional footballer and currently coaches Arsenal’s Under-18s.
But the Welsh FA are doing everything in their power to ensure he stays in their system, meaning he could soon be handed his first cap.