Both teams go into the game on the back of wins - Rhys Patchell guided the Blues to a win over Edinburgh last weekend and Davies is knows all too well the threat Parks can provide.
"I'm sure Dan Parks will be a threat," said the Blues' director of rugby.
"He is a quality player and I know him well, being the first coach to bring him to the UK when I was coaching Leeds.
"He came over for eight games and did an excellent job. He was a great distributor and a running fly half. He was always a good goal kicker and his game has evolved a lot since he arrived."
The Blues' last three games in the RaboDirect PRO12 have all been won by the away side but Davies' side have a strong record against the Irish province - Connacht have won just two of their 19 previous matches with the Blues, both in Galway.
""It was good to get the result up in Scotland last week against Edinburgh. We played well and our defence was strong," added Davies.
"We've built our performances and had some good results since the start of the year.
"We want to continue building on that and gather some momentum."
As the Blues seek to maintain their recent improved form, they welcome back Chris Czekaj who starts at full back for the first time this season.
Czekaj, who scored on his Wales debut against Canada in 2005, is now recovered from a foot injury sustained in a pre-season game with Worcester.
"I'm sure that Connacht will be a tough encounter for us," argued Davies.
"They are a good team, a very direct side who kick well and run hard.
"Our defence will have to be up to the mark and our back three will have a busy night."