A Canberra man who police described as "belligerent" has made an official complaint after he was handcuffed, arrested and his home searched after a "traumatising incident" suspected to be motivated by racial profiling.

The 38-year-old man, who only wished to be identified as "Tuck", had just returned from a stint in hospital and was "catching some sun and mentally and physically recuperating" around the pool area of his Narrabundah unit complex around 12.15pm when police arrived and arrested him.