The home side started the stronger of the two teams and attacked Partick's defence early on.
Partick began to pressure themselves and made an opening on six minutes, but the shot was blocked well by an organised defence.
Two minutes later, Inverness debutant Ben Greenhalgh came close to giving his side the lead, but could only hit the post with a volley from an acute angle.
Inverness began to dominate possession after conceding, but struggled to find a way through Partick's deep defensive line.
Craigen had a huge chance to double Partick's lead on 32 minutes, but despite being in space on the edge of the box, he could only curl his effort over the bar.
Partick continued to trouble Inverness with their swift counter-attacks, with Stephen O'Donnell coming close with a 30-yard drive on 35 minutes.