Armani was described as a "true gentleman" and "titan of the industry" by Vogue's Laura Ingham, who paid tribute to the late designer.
She added: "If you don't know anything about fashion, you'll still know Giorgio Armani. Mr. Armani built a house synonymous with timeless Italian elegance and enduring style".
Referencing his classic style, which included "refined silhouettes" and "immaculate tailoring", she concluded that "his legacy is woven not only into fashions past and present but will continue to shape its future for generations to come".
Starting his career in medicine, he moved to fashion in the 1960s and set up his own luxury label in 1975 alongside his late partner Sergio Galeotti.
He faced much criticism during his career, including in 2015 when he said a gay man "does not need to dress homosexual".
His company also reached a financial settlement with Italian tax authorities over offshore subsidiaries in 2014, though no wrongdoing was admitted.
Away from fashion, he was a keen sports fan and supported Serie A football team Inter Milan and owned the Olimpia Milano basketball team.
The fashion brand also had a partnership with the Scuderia Ferrari F1 team, with one of their drivers, Charles Leclerc writing on Instagram that it was "a great honour to have had the chance to meet and work with such an amazing person".
Armani was also presented with the French Legion of Honour and Italian Order of Merit for Labour for his work in fashion.