Shapps was appointed business secretary by Rishi Sunak after former prime minister Liz Truss removed him from his previous role.
Abta chief executive Mark Tanzer said Shapps’ department was responsible for the review of the Package Travel Regulations, business relations, and climate change policy and a dialogue was needed.
Writing a blog post, Tanzer said the industry needed government support “to ensure the UK is a world-leader in efforts to decarbonise aviation”.
The latest ministerial reshuffle also saw backbencher Mark Harper become the third transport secretary in seven weeks. Tanzer said he was keen to work with both new appointees.