The 32-year-old, who joined Getafe on a free transfer from Real Madrid in 2009, had been contracted to the capital outfit until next summer.
However, the La Liga club have taken the decision to end the Spaniard's stay.
Vicente Guaita and Jona both arrived at Getafe this summer, with the former taking the gloves in the early stages of the new season.
Codina is now on the lookout for a new club.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| C | Real Madrid | 38 | 29 | 8 | 1 | 87 | 26 | 61 | 95 |
| 2 | Barcelona | 38 | 26 | 7 | 5 | 79 | 44 | 35 | 85 |
| 3 | GironaGirona | 38 | 25 | 6 | 7 | 85 | 46 | 39 | 81 |
| 4 | Atletico MadridAtletico | 38 | 24 | 4 | 10 | 70 | 43 | 27 | 76 |
| 5 | Athletic Bilbao | 38 | 19 | 11 | 8 | 61 | 37 | 24 | 68 |
| 6 | Real Sociedad | 38 | 16 | 12 | 10 | 51 | 39 | 12 | 60 |
| 7 | Real BetisBetis | 38 | 14 | 15 | 9 | 48 | 45 | 3 | 57 |
| 8 | Villarreal | 38 | 14 | 11 | 13 | 65 | 65 | 0 | 53 |
| 9 | Valencia | 38 | 13 | 10 | 15 | 40 | 45 | -5 | 49 |
| 10 | AlavesAlaves | 38 | 12 | 10 | 16 | 36 | 46 | -10 | 46 |
| 11 | Osasuna | 38 | 12 | 9 | 17 | 45 | 56 | -11 | 45 |
| 12 | Getafe | 38 | 10 | 13 | 15 | 42 | 54 | -12 | 43 |
| 13 | Celta Vigo | 38 | 10 | 11 | 17 | 46 | 57 | -11 | 41 |
| 14 | Sevilla | 38 | 10 | 11 | 17 | 48 | 54 | -6 | 41 |
| 15 | Mallorca | 38 | 8 | 16 | 14 | 33 | 44 | -11 | 40 |
| 16 | Las PalmasLas Palmas | 38 | 10 | 10 | 18 | 33 | 47 | -14 | 40 |
| 17 | Rayo Vallecano | 38 | 8 | 14 | 16 | 29 | 48 | -19 | 38 |
| R | CadizCadiz | 38 | 6 | 15 | 17 | 26 | 55 | -29 | 33 |
| R | Almeria | 38 | 3 | 12 | 23 | 43 | 75 | -32 | 21 |
| R | Granada | 38 | 4 | 9 | 25 | 38 | 79 | -41 | 21 |
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