Frank Morrad was born in Brentford in 1920 and began his career as a junior with Brentford in 1936. He later moved to Athenian League club Southall and began his professional career with Third Division South club Notts County prior to the outbreak of the Second World War. During the war, Frank guested for Arsenal, Clapton Orient and Crystal Palace , before finally making his professional debut for Notts County in 1946.
He moved to fellow Third Division South club Leyton Orient for whom he had guested during the war, in November 1946. Morrad found his form at Brisbane Road and scored 11 goals in 25 games during the second half of the 1946-47 season. Frank departed the Os in August 1947 for Second Division club Fulham, but he failed to make an appearance for the club.
Frank dropped to the Third Division South to join Brighton & Hove Albion in February 1948 and remained with the club until August 1951, when he rejoined hometown club Brentford. He made just six appearances for the Bees and joined Southern League club Bedford Town in 1953, for whom he made 59 appearances before retiring in 1954.