deshebrar

To shred something into thin strands, most often in cooking for shredding cooked chicken or meat by hand — deshebrar el pollo — and also literally for removing threads or fibers from a fabric or plant. Very common in Mexican and Latin American recipes (pollo deshebrado, tinga).

• Deshebra el pollo mientras todavía está tibio. — Shred the chicken while it's still warm.
• Usamos dos tenedores para deshebrar la carne. — We used two forks to shred the meat.
• Deshebró las fibras del nopal antes de cocinarlo. — She removed the fibrous threads from the cactus paddle before cooking it.

In recipes it's specifically about pulling cooked meat into thin strands by hand or fork — don't confuse it with cortar (to cut) or picar (to chop), which use a knife instead.