Verstappen and the Red Bull team snubbed Sky and its Italian and German affiliates all weekend at the Autodromo Hermanos Rodriguez.
A Twitter user posted a photo of Naomi Schiff along with a statement questioning her credentials for the TV part she is playing.
The Leicester City boss said the Reds and the Blues still have difficult matches to play in their quest to finish above his side in the Champions League race.
English football’s clubs and governing bodies have announced a four-day social media boycott next weekend in response to online abuse directed at players and others.