Tenerife and Andorra were drawing 2-2 seven minutes into stoppage time when the incident occurred.
Owono ran towards the centre circle to clear a long ball when his knee appeared to collide with De Miguel.
The striker lay motionless on the pitch as medical staff treated him before he was taken by ambulance from Tenerife’s Estadio Heliodoro Rodriguez Lopez to hospital.
Players from both teams were visibly distressed by the incident, with a number of De Miguel’s team-mates in tears.
The referee showed Owono a straight red card before abandoning the match.
The goalkeeper, who had over 30,000 followers on Instagram on Tuesday morning, has since deactivated his account.
Spanish media, including Marca, reported De Miguel suffered a cardiac arrest in the ambulance and was resuscitated by paramedics on the way to hospital.
Tenerife’s president, Felipe Minambres, says the club’s players will need “professional assistance” to help deal with the ordeal of one of their team-mates dying.
“We are all feeling vulnerable and deeply saddened right now. It’s hard to even believe what has happened,” said Minambres.
“We know, especially the players and the players’ partners, that we will need support. We’ve already begun receiving offers of help today, and that support will continue.
“We will need professional assistance, but we also need the support of all our fans, because they are likely feeling the same way we are today.”
Minambres added it had been a “truly unbelievable situation” and “an enormous tragedy that we have had to endure”.
Andorra, Tenerife’s opponents on Monday, issued a statement later on Tuesday which spoke of the club’s shock and expressed condolences to De Miguel’s family, club “and all those who were close to him”.
“We are deeply affected by what has happened and we share the pain that the club is experiencing,” it continued.
“From the very beginning we have maintained contact with them and we are at their disposal for anything they may need.
“What has happened has had a huge emotional impact on our players, the coaching staff and everyone at FC Andorra. These are particularly difficult times for everyone and we want to make sure that no one has to face them alone. That is why the club is providing psychological support to anyone who needs it.”
Former Barcelona defender Gerard Pique, who co-owns Andorra, said: “I am sorry with all my soul. Rest in peace, Jesus.”
De Miguel’s former club, Castellon, said: “It’s hard to find words when reality strikes in such an unfair way.
“We join with all our affection in the grief of his family and loved ones, whom we embrace in these terribly difficult moments and to whom we extend our most heartfelt condolences.”
Javier Tebas, president of La Liga, said: “Today, we all share the terrible pain of an irreparable loss.
“My deepest condolences to his family, loved ones, team-mates and the whole club.”
