Davies, 31, was appointed as manager Brendan Rodgers's assistant coach last week, having worked with the 43-year-old at Liverpool and Swansea City in the past.
First and foremost, Rodgers's first task after replacing Ronny Deila at Paradise will be to shape the squad in his image, having inherited a team who have gone two years without reaching the Champions League group stages.
Improvements are definitely needed; not least with Celtic's bitter Old Firm rivals Rangers already out of the traps in regards to summer business, signing the likes of Joey Barton and Jordan Rossiter.
The Northern Irishman's appointment in Glasgow has restored a sense of optimism, one which would grow much stronger if supporters saw a few big-name signings coming through the door.
However, Davies, speaking to BBC Sport, says the emphasis will be on their quality rather than their profile.
"The first thing is, they've got to be the right character to assume the responsibility to play for this massive club and they've got to have quality," he said.
"Whether they are a big name or not, is another thing but we will be looking to attract players who are high calibre."
Celtic fans as New Celtic manager Brendan Rodgers is presented after the press conference