Llorente signed for Atletico Madrid last week in a €40m deal.
And Joseba Llorente told Radio SER: "He told him that he was going to have a few minutes, that the best thing was to leave and from that moment I started working, to communicate with the clubs that I think had the profile that Marcos could do well with. One was Atlético.
"I contacted several clubs to tell them what had happened, the conversation that Zidane and Marcos had had, one of which was Liverpool, but Liverpool this time, weren't so interested. They had his position covered and it was not a priority, but there were other important clubs in Europe, I had meetings, but Atleti is perhaps the one that took the strongest step and convinced us."