The defender joined Barca last summer from Athletic Bilbao, but he is likely to depart at season's end.
Sport says Barcelona expects Martnez to leave this summer.
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Pau Cubars has made a breakthrough in recent months, while Eric Garca is likely to return from his Girona loan to fill Martnez's place in the squad.
The 32-year-old earns 8m-a-year. By dumping Martnez, Barcelona will be able to create space for new acquisitions.
Barcelona plan to help Martnez find an attractive move elsewhere.