[8] Brennan relocated to Canberra, Australia in 1975, where he took up the Creative Arts Fellowship at the Australian National University,[1] and also provided advice on the founding of the Victorian Tapestry Workshop (Melbourne).
In 2020 the Dovecot Gallery raised over £25,000 by a public appeal, to support a major retrospective exhibition of 80 of Brennan's tapestries, which was displayed March–June 2021.
[8] The Victoria & Albert Museum cites Brennan as being “credited with bringing about a renaissance in tapestry weaving and design in Britain.”,[12] and in 2019 he was described as "possibly the greatest Scottish Pop artist you have never heard of".
[8] The global perspective of Brennan’s approach is reflected in his 1974 work, Package, created in submission for the British Crafts Centre exhibition.
[15] Designed by Brennan in 1972 and woven under the direction of Fiona Mathison at Dovecot Studios in 1978, At a Window I, Spotted Dress, Second Version, 1980 is held by the Victorian & Albert Museum, London.