John Hughes accepted Dundee United were worthy of a point against his Inverness side but questioned whether the Tangerines' leveller should have stood.
The Highlanders led early on through Ryan Christie's header.
United substitute Farid El Alagui levelled in the second half following a scramble in the Inverness box.
"I thought we should have had a free-kick as the boy jumped into [goalkeeper] Dean Brill," said Hughes. "For me, that's a free-kick."
Inverness stay fifth in the Scottish Premiership but are now two points clear of St Johnstone.
"Did they deserve something from the game? Yes, 100 per cent," Hughes said of Dundee United.
"The first 30 minutes we were good. We controlled the tempo, showed good ball retention and scored a good goal.
"However, it was all Dundee United in the second half. But the way they got the goal was disappointing."