In addition to his shot-stopping abilities as a goalkeeper, Dasayev was also known for his trademark sudden long throws, which he would make immediately after stopping a shot, in order to start quick counter-attacks from the back; he was also known for his particular diving technique, which often saw him attempt saves with only one arm, in a similar manner to his Italian contemporary Franco Tancredi.

[6][10][13] Considered to be the goalkeeping heir of Lev Yashin in Soviet football,[10][14] he often drew wide praise for his ability in the press.

[10][15][16][17] However, critical opinion of Dasayev was occasionally divided;[18][19][20][21] Italian sports journalist Gianni Brera, for example, believed that he was overrated in the media.

In 2001, he traveled to Vietnam to play some friendly matches between legend players of Spartak Moscow and Hanoi XI, which ended 3–3.

[24] He had to retire from active coaching in late 2018 due to knee injuries and currently works as goalkeeping consultant with FC Spartak-2 Moscow and Spartak's youth teams.