Optus chief executive Kelly Bayer Rosmarin is considering exiting the country’s second-largest telecommunications group after two major crises in 12 months and as she prepares for a difficult Senate hearing on Friday.

Ms Bayer Rosmarin, who will appear at a parliamentary hearing called by the Greens into a lengthy, network-wide outage last week, has faced considerable pressure to resign. She will appear at the inquiry with Optus’ network business chief, Lambo Kanagaratnam, after a week of recriminations between the company and its owner, Singapore’s Singtel.