Born in Las Palmas, Canary Islands, Deogracia began his managerial career in charge of AD Huracán's Juvenil team.
[2][3] He was later an assistant of Juani at UD Las Palmas Atlético[4] before being in charge of CF Unión Viera,[5] where he was sacked after not lining up a player ordered by the club's sporting director.
[6] Deogracia was in charge of UD Teror Balompié for two seasons before departing the club on 10 March 2014, joining Thai side Buriram United FC and being named manager of Surin City FC, the club's reserve team.
[7] On 21 July 2015, he joined compatriot Sergio Lobera at MA Tétouan,[8] being manager of their under-21 team.
On 15 March 2023, Deogracia was hired to head the academy of the Russian Premier League club FC Orenburg.