On July 5 [O.S. June 24] 1770, a Russian squadron under the nominal command of Count Alexey Grigoryevich Orlov with Spidirov in charge of the avant-garde attacked the Turkish fleet in the Chios Strait and forced it to hide in the Chesma Bay. On the night of June 26 (July 7), the Russian squadron under the actual command of Spiridov and Samuel Greig destroyed the Turkish fleet during the Battle of Chesma and established supremacy in the Aegean Sea. In 1771–1773, Spiridov commanded the Russian fleet in this region. When he resigned from the Russian Navy in 1774, many attributed it to his resentment that all the credit for his victories went to Orlov.