"We are committed to genuinely considering all options to help our customers who have been impacted by this issue and these discussions will be prioritised once the issue has been completely resolved."
Mr Cooke said Tyro had been actively collecting, repairing and returning terminals and was working "24/7" with terminal provider Wordline and partner Amtek.
Tyro listed on the Australian Securities Exchange in December 2019 and is chaired by former Telstra chief executive David Thodey.
Melbourne craft brewer Moon Dog was one of the businesses hit by the outage with nine of its 14 Tyro terminals bricking on Wednesday last week and chief executive Maurice McGrath said the terminals still have not been replaced.
However Mr McGrath said he would consider switching payment providers as a result of the outage.