Gregorio Manzano admitted the Mallorca fans were the reason they defeated Sevilla on Saturday evening.
Two goals from Alfaro either side of Alvaro Negredo's strike was enough to give the Islanders all three points.
And the 56-year-old has insisted that they have what it takes to avoid relegation come the end of the season.
“Hopefully we'll have another 20,000 fans at the next home game,” he told a Press conference. “The supporters transmitted their passion on to the players.
“We have a long way to go until the end of the campaign but today has given my team great joy.
“We worked hard, and even when they equalised we continued to go forward.”