Among those paying their respects were Lisa and Lee, visiting Tenerife from Stoke-on-Trent. They had arrived on holiday at the weekend and decided to attend Monday's match, hoping to experience Spanish football for the first time.
He described De Miguel as a figure who had helped shape the club's recent history.
Suarez also stressed that thoughts were with De Miguel's wife, daughter and wider family.
The 30-year-old had quickly become a club favourite, scoring 11 goals in his first season as Tenerife won promotion to the second tier of Spanish football.
Club officials said the grief was felt not only because of the circumstances of his death, but also because of the affection he always showed towards the island and his club."They are the ones suffering most directly from this loss, just as the Tenerife supporters are suffering,"he said. Poli Suarez, the Canary Islands minister for education and sport, said Tenerife was in"complete mourning".
"The loss of Jesus de Miguel is now part of our history,"Suarez said.