The 29-year-old was replaced in the 80th minute of Real Madrid's 1-0 La Liga loss at Alaves on Saturday.
The triple European champions had been shackled by Alaves for most of the match and they were fortunate not to concede late in the second half before Garcia struck when Alaves's Jony fired narrowly wide on the break.
"We don't analyse what people might think", he told reporters when asked about the press reports regarding his uncertain future. "Today we had some good chances but the injuries to Bale and Benzema punished us a lot", he added.
Julen Lopetegui's side were beaten in the Champions League in midweek by CSKA Moscow and had previously lost to Sevilla as well as a draw at home to neighbours Atletico Madrid.
Despite their ragged form, Real are joint top of the La Liga table with Barcelona and Alaves, although Barca will march three points clear at the top if they win at Valencia on Sunday.
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Alaves, whose fortunes have been transformed since coach Abelardo Fernandez took over last December when they were fighting against relegation, rose to a third.
The coach also said his side's poor results were partly down to Real's bad fortune with injuries, which deepened after Gareth Bale and Karim Benzema were forced off during a game in which the coach already had to contend without Marcelo, Isco and Dani Carvajal.
Lopetegui says "the injuries to Karim and Gareth greatly limited what we could do". Real haven't won - nor scored - for the past four games.
After an global break, Madrid's next game is at home against Levante on October 20. "If we scored in the first half, everything would have been different", said Varane.