Atletico Madrid's local rivals Real have also reportedly joined the list of clubs interested in the 26-year-old and Griezmann himself as added to that rumour by indicating he couldn't rule out potentially joining Los Blancos in the future.
Man Utd have been strongly linked with a move for Atletico Madrid forward Antoine Griezmann this summer, but they could be left disappointed.
Zidane started the press conference talking about today's game against Atlético Madrid: "We can not be happy today". The players that have given me their lives, I obviously accompany them in the decisions that they take.
Zidane took over from Rafa Benitez as Real Madrid coach in January 2016, winning the Champions League within five months in charge and now has the team top of La Liga and into the Champions League quarter-finals.
The Real madrid Captain told reporters: "We will see - to talk about future signings would be to give you many front page stories".
"Very, very few players have done that, so I think it is dead".
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But Griezmann's equaliser ensured that the gap remained three points with Barcelona having the chance to go back top on goal difference with victory at Malaga later on Saturday, although they have played a game more than Real.
The Argentinian coach has lost only once at the Bernabeu in La Liga - a 4-1 defeat in his first game back in December 2012 - and has won the past three.
Very few players have made the direct switch from Atletico to Madrid, but former Mexico worldwide Hugo Sanchez did so in the 1980s and ex-Argentina global Santiago Solari in 2000, while Raul Gonzalez had started out as a youth player at the Vicente Calderon.
"I can't speculate about the rest". But we're happy with the draw.
"But I am not sure, so I am not preparing anything [for next season]".
"We need the best of Antoine", said Simeone on Friday.