The 18-year-old came on for the last 30 minutes of the game in Phoenix and played a crucial part in United's equaliser.
The reports claim United would want £71.4m (€80m) for Martial to leave Old Trafford.
After United's goalless draw with San Jose Earthquakes on Sunday night, Mourinho related Martial's situation to his own frustrations with United's pre-season tour of the United States and reminded the player that leaving Old Trafford may not be easy.
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The pair, who got to the semi-finals of the World Cup with Belgium and England respectively, are not on United's pre-season tour as they take a post-tournament break.
"It was a good training session", said Mourinho.
But again, the manager remained sanguine: "He's injured and I think we need to get used to it", he said.
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"I've no idea. I'm not going to lie to you, I'm not going to say somebody is coming or nobody is coming".
The rejection of of Alexis Sanchez's visa initially was a big blow, and although the Chilean eventually made it, Mourinho seemed unhappy. "The objective is to prepare them the best we can for the start of the season because we don't have many more players than this one".
Shaw told the Manchester United website: "Its time for me to show him (Mourinho) over the next few weeks in particular what I can do and whyI deserve to be in his team".
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Within hours of arriving in the hospital, his body went into septic shock. "Looked like somebody beat him up with a baseball bat". Family friend Jason Marchand, who set up the page , said: 'Greg has held his head high and is taking all the news like a beast.
"And when he doesn't play we have to make decisions. Now it's all about work, confidence.I am confident with them because they are all wonderful players and Anthony looks very sharp".