Arsène Wenger's team have shared the spoils in their first two games but are yet to open their account at the sharp end of the field.
As a result, GunnersGaming are offering odds on which player will get the first goal and how it will be scored.
Olivier Giroud and Lukas Podolski are joint favourites at 11/5, while Santi Cazorla offers good value at 9/2. Alex Oxlade-Chamberlain and Thomas Vermaelen both look like interesting outside bets at 6/1 and 27/2 respectively.
As far as this fixture is concerned, Arsène Wenger's side have not lost at Anfield in the last five seasons. They have twice emerged victorious by a 2-1 scoreline, including their latest encounter in March, and the same outcome has been priced up at 10/1.
In the first-goalscorer market, Giroud, who came closest to netting at Stoke last weekend, is joint favourite at 7/1. Germany international Podolski is the other market leader, while Cazorla is priced up at 9/1.
*Odds correct at time of writing. Terms and conditions apply.