Hall finished 12th in the two-man earlier this week, but said he is targeting a first medal in 12 years with his four-man team.
Team Hall finished sixth four years ago in Beijing and the last Olympic cycle has been a fruitful one.
Hall is the most successful British men’s pilot in World Cup history with 30 race medals, and guided his team to a first world championship medal since 1939 when they took silver in Switzerland in 2023.
That came after a first-ever European title in Altenberg earlier that year.
Following that success, the sport received a boost in funding from UK Sport, having been cut in 2019 following poor results at Pyeongchang 2018.
Training in Cortina has not been perfect, with the team clocking times outside the top five on five of the six runs.
Things looked promising after run one and the team fist-pumped and banged the sled in celebration as they came up the finish straight.
But mistakes in run two proved costly and their time of 55.04secs was only the 12th-quickest in run two, leaving medal hopes hanging by a thread.
Team GB have not won an Olympic bobsleigh medal since Sochi 12 years ago, where the four-man team won bronze.
Meanwhile, the medal-deciding runs for the two-woman event take place later on Saturday, with Team GB’s Adele Nicoll and Ashleigh Nelson 21st at the halfway point.