The striker lay motionless on the pitch as medical staff treated him before he was taken by ambulance from Tenerife's ground to hospital.
Jesus de Miguel's family would like to thank everyone for their messages of support and, from the bottom of their hearts, ask that their privacy be respected at this terrible time.
The club will also open their home ground on Saturday evening to allow supporters to bid a fitting farewell.
Owono ran towards the centre circle to clear a long ball when his knee appeared to collide with De Miguel.
De Miguel helped the team gain promotion to the second division. His Tenerife team-mates also paid tribute on social media.
Players from both teams were visibly distressed, with a number of De Miguel's team-mates in tears.
Tenerife and Andorra were tied 2-2 seven minutes into stoppage time when the incident occurred.
Tenerife said in a statement on Tuesday evening they will commence six official days of mourning, with all club activities suspended during this time. Striker Enric Gallego described De Miguel as"one of the best people"he has met, in an emotional statement.