Licha passed the milestone at Turf Moor on Wednesday night, as he completed the full 90 minutes of our 2-2 draw with Burnley.
That was his ninth outing across all competitions since he returned from knee surgery in late November.
Our no.6 is the 228th different player to rack up a century of appearances for the Reds, but only the third from Argentina.
His former team-mate Alejandro Garnacho played 144 times for United, before joining Chelsea in the summer.
Marcos Rojo, also a central defender from the South American nation, represented the Reds on 122 occasions.