"I expect the same", said Giggs.
The pair then clashed on the training pitch last week after the coach was unhappy with his player being on Instagram during the side's League Cup defeat to Derby County.
"He said what he wants to say, I'm not interested, honestly, I'm not interested".
Giggs, though, believes that further disruption is the last thing that United need, with the club already onto their third manager since Sir Alex Ferguson slipped into retirement back in 2013.
Earlier, NAIJ.com had reported how Manchester United legend Paul Scholes called for the sack of Jose Mourinho claiming that the Portuguese has embarrassed the club. "You have to take that into consideration, but the set-up is different when they join us in the France squad".
Attempting to absolve himself, Valencia wrote on Twitter that he simply liked the Instagram post - essentially just three photos of himself - without reading the underlying text...More news: Indonesian quakes, tsunami death toll rises to 1,249
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'These are not my views and I apologise for this.
"I don't care what fallout you've had with your manager, I don't care if you've been at each others throats".
"We had probably a couple of the biggest chances to win it but I have accepted the result as a fair result".
The German defender has previously been a target for United, having turned them down in 2014.
Speaking about Bale, Giggs said: "He had a little groin strain".
"I've been told I'm not allowed", Pogba said when asked if he wanted to talk after the Valencia game.
Zinedine Zidane is available after resigning as Real Madrid coach during the summer, but the likes of Tottenham manager Mauricio Pochettino and Juventus coach Massimiliano Allegri would prove nearly impossible to prise from their jobs in mid-season.