Armstrong says he is unfazed by the prospect of such a busy schedule.
"One of the big benefits of TRS was its similarly intense format - five weekends in a row, fifteen races in total. For any race driver it's important to get as much competitive time as possible, just as it is essential to have the support of a professional team environment. With this announcement we are fortunate to have both," he said.
Armstrong spent 2016 racing karts in Europe at the very highest level, testing formula cars at key circuits and the embarked on a limited campaign in Formula Renault 2.0 and British F3 at year end to familiarize himself with 'wings and slicks' cars before entering the the 2017 Castrol Toyota Racing Series.
In his single seater championship debut, Armstrong finished third with three race wins, and eight podium finishes including runner-up to M2 Competition teammate Jehan Daruvala in the 62nd New Zealand Grand Prix at Circuit Chris Amon near Feilding.
The Kiwi is the first to have been inducted into the Ferrari Driver Academy, which has sent a steady stream of drivers to contest TRS since 2012 including Raffaele Marciello, Guanyu Zhou, Lance Stroll and Brandon Maisano.
Prema has been a major force in Formula 4 since the introduction of the FIA category, with then-Ferrari junior Lance Stroll and Ralf Aron delivering Italian F4 titles in 2014 and 2015 respectively. Armstrong joins a strong list of drivers before him who have succeeded with the team including FIA European Formula Three champions Marciello (2013, most recently contesting GP2 with the Russian Time team) Stroll (2016, now a Williams Formula One driver), as well as Schumacher and Aron.