Inter are set to unveil Sanchez on Thursday on a free transfer after initially joining on loan at the beginning of the season following a nightmare spell at Old Trafford.
"The sooner they got rid of him the better," Scholes said on BT Sport. "He was really poor for Man Utd.
"When Sir Alex [Ferguson] left, it was just part of a four or five year spell where the recruitment was abysmal to say the least and he was just a part of that.
"I'm just grateful Ole's come in now to Man Utd and the recruitment looks to really be going in the right direction.
"Hopefully they won't make a mistake like a Sanchez mistake that's been made over the last four or five years."