Peacock-Farrell featured for Leeds in the Championship game against Villa away from home at Villa Park on Friday evening.
The 21-year-old goalkeeper started the match and played for the entire 90 minutes, as the Whites lost 1-0.
Former Leeds goalkeeper Robinson was following the match, and the 38-year-old was impressed with the performance of the Northern Ireland Under-21 international.
Peacock-Farrell was one of the very few players who performed well for Leeds against Villa at Villa Park in the Championship on Friday evening.
The youngster has established himself as the first-choice goalkeeper for the Whites in recent weeks.
Leeds will be disappointed with how the season is panning out, but the Elland Road faithful should be encouraged with how Peacock-Farrell has been a bright spark for the first team.
The Whites will next face Barnsley at Elland Road in the Championship.