Known for his six-hitting prowess, Pant played second fiddle to David Warner (49) in their 67-run stand that steadied Delhi
Giroud's deflected finish in the 89th minute on Saturday was rough on Preston who had dominated the opening period after Callum Robinson had given them an early lead.
Arsenal were a different proposition after the break and equalised a minute after the restart when Ramsey fired home from the edge of the area after Alex Iwobi's lay-off.
The hosts looked capable of holding out for a replay but Giroud struck for the fourth match in a row when he capitalised on a clever back heel by Lucas Perez.
Preston were left to rue missed chances before the break, the best of which saw Jordan Hugill somehow fail to connect with a Robinson cross with the goal gaping.
Robinson also had a goal ruled out for an infringement.