She was the top scorer in Serie A in the 1984–85 season, and for 11 consecutive years from 1987–88 to 1997–98, and she holds the distinction of scoring the first hat-trick in a FIFA Women's World Cup.

[4] As a curtain-raiser to the 1990 FA Charity Shield, Italy played the England women's national football team at Wembley Stadium.

Morace scored all four goals in England's 4–1 defeat and was featured on the front page of the following day's La Gazzetta dello Sport,[5] a record that has never been beaten by a male or female player since.

Morace holds a UEFA PRO License and is probably best known for having been the first woman to coach a professional men's football team, Viterbese of Italian Serie C1, a post she took in June 1999.

Unexpectedly, she formally announced her resignation as the coach of the Canadian national women's team on Friday 22 July 2011 due to future budget disputes.

[8] On 17 September 2015, it was announced that Morace had been appointed technical director of a Men's National Premier League Club Floreat Athena FC in Western Australia.

[11] In 2018, Morace returned to Italy as she became the first coach of AC Milan Women in Serie A finishing third in their inaugural season and the only team to defeat Juventus 3–0.

In 2015, Morace featured in a comic book as a coach for a Professional Primavera football squad called "Elfio e i Satanelli!".