Djokovic and his wife Jelena have since tested positive for Covid-19, as have a number of other players and attendees.
"For goodness sake Boris, I'm not competing or trying to throw anyone under the bus".
The video was posted on Instagram by German designer Philipp Plein and later deleted.
Kyrgios has also been vocal in his criticism in the USTA's decision to host the US Open despite the continued rise of COVID-19 cases in the country.
Kyrgios retaliated: "Nah bro, I'm good. It's bad and it killed to many lives.we should protect our families/loved ones and follow the guidelines but still don't like #rats @NickKyrgios @farfetch", Becker tweeted on Tuesday night.
Kyrgios: "Rats? For holding someone accountable?"
"I think there's a lot of young guys that are right now, no offence, just better than him", said Zverev, playing down Kyrgios's chances of winning a Grand Slam. It's a global pandemic and if someone is as idiotic as Alex [Zverev] to do what he has done, I'll call him out for it. Simple'.
"So I wake up and I see more controversial things happening all over the world".
Becker conceded that his compatriot had "broken the quarantine rules and should be ashamed of himself" before again calling Kyrgios a rat and bizarrely telling him: "You're a amusing guy".
Continuing the animal theme in a possible reference to Zverev, the world number 40 added: "And you have a goose waving his arms around, I'm going to say something". "Can hit a volley, obviously not the sharpest tool in the shed though". Becker then insisted that he wanted to see the 25-year-old become "an incredible role model for the youth of the world".
Zverev, 23, took part in Djokovic's event, which saw crowds packed into stands in Belgrade while players hugged at the net and played basketball in Croatia. "Man up buddy and deliver!" wrote Becker. "But one thing that stuck out for me was seeing Sascha Zverev again man, again, again".
After testing negative Zverev had released a statement vowing to self-isolate, only to be spotted at a busy bar, apparently over the weekend, in footage that went viral, irking many including Kyrgios.