With national team coach Vicente del Bosque watching on, the Oviedo-born forward led the line admirably for the Swans as they earned a 0-0 draw at Goodison Park on Saturday
The Madrid-born coach, who has previously promised to include the 26-year-old in his next squad, was in attendance as the Swans battled to a 0-0 draw against Everton at Goodison Park.
And, despite conceding that the prolific Spaniard could not show his best form as the Welsh outfit struggled on Merseyside, Laudrup expects Del Bosque to have seen enough so far this season.
"If Del Bosque had called me before I could have told him that this wasn’t maybe the best game to see Michu but I know that over here we’re watching the Spanish league and in Spain they are watching the Premier League," he told reporters.
"So Del Bosque knows exactly what Michu has done till now so I think it was just a visit here, I think he has made up his mind about Michu.
"We talk so often about Michu; he gets one chance and he scores. That’s really class but, then again, he knew today had to be a day where he had to work and that’s what he did. "
The Dane went on to hail his side's flexibility as they eschewed their trademark passing football in order to share the spoils with a physical Toffees outfit.
"To come here and play Everton in such a difficult away game after playing in midweek against Chelsea and getting a point it’s a great result and once more it was a great performance," he continued.
"Maybe [we got] the points in a different way than we are used to but sometimes you have to accept, especially in away games, that the opponent is not allowing you to play your game."
Everton boss David Moyes, meanwhile, lamented his side's inability to capitalize on its domination of possession.
"We’re a bit frustrated but Swansea did a really good job in midweek on Chelsea and [this was] not dissimilar," he said.
"We needed to play a bit better, pass it a bit quicker and be a little bit more clever in the final third but we didn’t do that as well as we would have liked.
"We had three or four good opportunities but maybe just not perfect. I couldn’t turn around and say anyone missed a real sitter. I thought we kept going, kept trying to do the right things.
"We could have done it better but I can’t fault the players for their effort, I think they went right to the last minute to get the goal. "
The Scot also revealed that he is unlikely to add to his squad in the January transfer window, despite admitting his frustrations at a lack of options from the bench.
"I think you probably saw what was coming on made us look a bit short. We’ve been like that all season and we’ve done really well," he continued.
"The answer to the question is probably not, I wouldn’t expect too much comings or goings."