The 19 years old Martial, was signed for £36m from Monaco, making him the world's most expensive teenage footballer, and was named as a substitute at Old Trafford.
Van Gaal said: "He made a very good impression in the first three days, that's why I selected him on the bench.
"When you make a goal like Anthony you cannot wish for more."
Martial's 86th-minute goal in Saturday's win came two minutes after Christian Benteke had pulled a goal back for Liverpool with a spectacular bicycle kick.
The teenage substitute jinked past defend Martin Skrtel before slotting into the far corner at the Stretford End, sending Old Trafford wild.
Van Gaal had previously admitted that the pressure to succeed was higher at Manchester United than at other clubs, citing the likes of Angel Di Maria and Radamel Falcao, who were signed last season.
But despite the debut goal, the Dutchman said it was too early to judge whether Martial could live up to the hype.
"A lot of players have made a debut and scored with me so it's a good signal," Van Gaal.
"We scouted him and we wanted him because he's the best in his age, but he needs time and three days is too short to judge his personality."
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