A judge issued the original injunction earlier this month after Vonage was found guilty of infringing five patents owned by rival phone company Verizon.
The VoIP provider was also ordered to pay $58m in damages and 5.5 per cent of all future earnings.
However, Vonage founder and interim chief executive Jeffrey Citron vowed to continue the fight against the patent ruling.
The company argued in a statement that the disputed patents should be invalidated because they are overly broad and defined in a legally unprecedented way, and accused the court of neglecting well established law on claim construction.
"We are confident that this error will be rectified by the appeals court," said Vonage chief legal officer Sharon O'Leary.
AMD's Zen chip roll-out continues with the focus on high-power embedded applications
And becomes the team's executive chairman to boot
'Whatever the causes of political polarisation today, it is not social media or the internet,' claims Dr Grant Blank
Tesla founder leaves OpenAI group - while Valve Software's Gabe Newell joins