Florentino Perez insists Real Madrid are not contemplating Cristiano Ronaldo's departure this summer.
Mourinho was Real Madrid coach from 2010-13.
United are also anxious that a long-running transfer saga involving Ronaldo could result in the club missing out on other potential signings.
In the season just ended, he won three trophies in his debut campaign at Manchester United, although he drew criticism after a poor league performance in which United finished sixth in the Premier League.
Real Madrid have refuted claims Jose Mourinho signed a contract to take over at the club before he left Inter.
Other prominent football figures have been accused of tax fraud in Spain in recent months.
Prosecutors said he had failed to declare revenues from his image rights in his Spanish income tax declarations from 2011 and 2012, "with the aim of obtaining illicit profits".
In addition, they say he only declared 11.5 million euros of Spanish-related income from 2011 to 2014, while what he really earned during that time was close to 43 million euros.
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Those storms will then spread across the southern half of the state with the southeast region predicted to get the most rain. Cindy's maximum sustained winds had decreased to near 40 miles per hour with additional weakening expected, the U.S.
Portuguese paper A Bola claimed that the player had told team-mates in the Portugal camp at the Confederations Cup in Russian Federation that he would not return to play for Madrid again after the Spanish state prosecutor filed a lawsuit against him.
Like Cristiano Ronaldo, caught-up in a similar tax claim with Spanish prosecutors, Mourinho is represented by Portuguese firm Gestifute media who issued a statement saying he "has not received any notification" from the Spanish law enforcers.
The agency published copies of the certificates.
The frenzy of speculation began soon after Ronaldo was accused last week of a 14.7 million euro tax evasion through offshore companies. A Madrid judge will decide if the matter goes to court.
Argentina worldwide Di Maria is accused of failing to pay 1.3m euros to the Spanish tax authorities in 2012-2013 by giving up his image rights to companies based in tax havens, such as Panama.
He denies the accusations and is threatening to leave Spain.
A Bola reported last week that Ronaldo had intentions for leaving the Spanish club, but also reported that Perez believed he could dissuade his superstar from departing.
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