Ferrer paid tribute to his Ukrainian opponent as well as the crowd who got behind both players in the three-hour clash.
"It was a really hard, tough match, he's an unbelievable player," Ferrer told BBC Sport.
"I tried to fight, to keep focus in the bad moments so in the end I could win. It's nice to have the crowd supporting both players.
"Wimbledon is special, it's the best tournament in tennis, and it's exciting to play here."
Ferrer faces Croatian Ivan Dogig in the round of 16.