Cowley, along with brother Nicky, took charge of the Fratton Park helm last Friday.
And they got off to the perfect start with a 2-1 defeat of League One play-off rivals Ipswich.
Now the Blues go to Steve Cotterill’s Shrews aiming to inch closer to the top six.
However, Pompey will be without Ronan Curtis for the New Meadows encouter. The winger is away on international duty with the Republic of Ireland so a berth on the left-hand side of midfield needs filling.
John Marquis (ankle) is also an injury doubt so that leaves Cowley short of striking options, with Ellis Harrison sidelined for the remainder of the campaign with a knee problem.
Here’s how we reckon Pompey will line-up to face Shrewsbury...
13. Sub 2 - Callum Johnson
Had a full week of training but may not be risked. Photo: Daniel Chesterton
14. Sub 3 - Ramsus Nicolaisen
The Dane will seemingly have to be patient for his next chance. Photo: Graham Hunt
15. Sub 4 - Charlie Daniels
Set to be on the bench again, with Lee Brown taking over duties since they were swapped at half-time in the Papa John's Trophy final. Photo: Joe Pepler
16. Sub 5 - Ben Close
Thrust himself right back into the mix for a starting spot after being left in the cold under Kenny Jackett. Photo: Joe Pepler