Broady was downed 6-1 6-1 by the Croatian, who is ranked 38 in the world.
Broady won the first game of the match, but things went badly after that as second-seed Martic reeled off 11 games in a row.
WTA Rome
Swiatek battles past Azarenka for 25th straight win
12/05/2022 AT 14:42
The British number four lost in just 56 minutes.
WTA Indian Wells
'I've just got to get stronger' - Raducanu reveals 'tough' issue after Indian Wells loss
14/03/2022 AT 09:01
WTA Indian Wells
Raducanu suffers another early exit as Martic fights back to progress
13/03/2022 AT 21:22