Šušnjara started his career at RNK Split, making his debut against Dinara Knin.
[1] Šušnjara was dismissed by NK Imotski in October 2015,[2] then became assistant to head coach Zoran Vulić at RNK Split in May 2016.
[3] and later was reappointed manager of Orkan in March 2017, taking over from Dalibor Filipović after he had earlier taken charge replacing Ante Vitaić in autumn 2016.
[4] In September 2017, he was named manager at NK Val Kaštel Stari, succeeding Davor Čop.
[5] He resigned as manager of Kamen Ivanbegovina in September 2022,[6] then was appointed at the helm of Zmaj.