The Irishman, who took the reins this summer, oversaw a vibrant opening-day win over Peterborough United that set the tone for the Bluebirds’ return to the third tier.
That result was followed by another victory on their own patch against Swindon Town in the Carabao Cup and Barry-Murphy now sees Saturday’s clash as a chance to cement a winning rhythm in front of the home faithful.
“We’re really excited,” he said. “The first home game against Peterborough was a fantastic occasion, so to back that up with a victory on Tuesday was satisfying.
“Now, to go into another test against Rotherham is going to be very exciting.
“I think that day by day we’re improving. The results that we’ve seen have been pleasing, but for myself the focus is purely on training well today and tomorrow to give us the chance to play well on Saturday, in what is going to be a stern examination of how good we want to be."
Rotherham, known for their physical approach and organisational discipline, present a contrasting challenge to the free-flowing football Barry-Murphy encourages.
Cardiff’s goalless draw at Port Vale last weekend was a reminder that not every game can be played on their head coach’s own terms.
“For our squad, a lot of it is about the different challenges that they’ll face, and the way that they’ll overcome these challenges,” Barry-Murphy continued.
“Saturday is a great example of that; we’ll face a team with a lot of experienced players, a lot of experience in the camp and perhaps the opposite of where we’re at.
“They’ll be very aware of what our strengths are and will be looking to give us a test that they think we won’t be able to cope with.
“But we have to show that we’ve improved in our understanding since Port Vale.
"The challenge is going to be similar, and we have to show that we’ve improved from week one to week two.
“Those steps forward we make will be important for us to continue as we progress through the season."
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While Barry-Murphy’s methods are still taking root, the effect on his players is already visible.
Defender Joel Bagan, one of the more experienced figures in what is a strikingly youthful squad, says the arrival of the former Manchester City Under-23 coach has brought a new dynamic to training and match preparation.
"From the first day he came in, there was a really refreshing feeling around the place and really positive," said Bagan.
"The thing that exited me the most about coming in was the experience he's had working with young players at Man City and Leicester.
"And I've already learned a lot. Some of the details on the work we've had in such a short space of time is not something I've seen before.
"I'm really looking forward to how the rest of the season can plan out."
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At 23, Bagan was the second-oldest player in the starting XI against Peterborough and, having broken into the senior side in 2020 under Neil Harris, now holds the unusual distinction of being Cardiff’s longest-serving player following captain Joe Ralls’ summer departure.
Bagan has not yet opened talks over a new deal, with just a year left on his contract, but says his mind is firmly on the pitch — particularly after the bruising Port Vale encounter, which he described as “probably the most physical” game he has played.
"They made it tough for us and it showed, not every game is going to go to plan and teams won't let us play as we want every time," he admitted.
"It was frustrating but we came away with a clean sheet and we're still unbeaten."
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Barry-Murphy’s desire to develop his squad goes beyond results. His reputation for nurturing young talent — having helped shape the careers of Phil Foden, Cole Palmer, and Rico Lewis during his time at Manchester City — is a key reason Cardiff’s younger players are optimistic about their growth this season.
Training sessions have focused heavily on technical precision and decision-making under pressure, aiming to give Cardiff an edge in the tight matches that define League One campaigns.
With Rotherham likely to test their physicality, Barry-Murphy’s challenge will be ensuring his team blend composure in possession with the resilience to compete in duels.
The manager also offered a fitness update ahead of the weekend.
“Perry Ng is getting close but is not there yet, and Alex Robertson is almost on a par in terms of the timescale. Hopefully those two will be back and available against Luton Town,” he said.