The former Barcelona boss bemoaned the lack of a creative spark as his side drew 1-1 with Sunderland but couldn't be drawn on whether a move for the Real Madrid star was close
Goal understands that the Red Devils are nearing a deal for the Real Madrid winger, with Los Blancos boss Carlo Ancelotti having revealed that the 26-year-old has already said goodbye to his team-mates at Santiago Bernabeu.
Van Gaal has now revealed he would like to sign Di Maria as much as he would like to see Lionel Messi and Arturo Vidal arrive at Old Trafford - but refused to comment on whether the transfer was close to completion.
"I think always the club has to announce it," the Dutchman told Sky Sports. "When we think it is the right time then we will come to you. At this time we cannot say anything.
"Yes, [I like Di Maria]. But I like Messi also and Vidal also. There are a lot of players who I like. But they cannot always come to Manchester United."
The former Netherlands coach was speaking after his side's 1-1 draw against Sunderland and he believes his team is lacking a creative spark.
Juan Mata gave the Red Devils the lead before Jack Rodwell's header levelled matters, leaving the 20-time English champions without a win from their opening two Premier League matches of the season.
"I think that in the first half we played an equal match with Sunderland," Van Gaal stated. "We didn’t create so much.
"But we have already warned our players about giving set pieces away, and then they go and score from a set piece. That’s disappointing.
"In the second half we played much better but in the final third we lacked the creative pass.
"Last week [against Swansea City] we created more chances. Football has been played for creating chances.
"I have to say probably we had more ball possession and were more dominant than the last match. But you have to win your game and we couldn’t."