Cruise business director Parsons joined the Glasgow-headquartered agency chain in 2006.
A Barrhead spokesperson said: “We would like to thank Catriona for all her hard work and her contribution over the years. We wish her all the best in the future.”
They added: “We will be announcing an internal restructure shortly.”
Barrhead was acquired by US travel group Travel Leaders last year. And in January, Jacqueline Dobson was promoted to president replacing Sharon Munro.