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...
1. Goalkeeper - Craig MacGillivray
Undisputed No1 this season and will be aiming for a clean sheet against the side he left Pompey for in 2018. Photo: PinPeP
2. Right-back - James Bolton
Callum Johnson's back in contention but might not be quite fit to start. That will mean Bolton will also face his ex-club. Photo: Joe Pepler
3. Centre-back - Jack Whatmough
The fans' favourite started the Cowleys' first game and is unlikely to lose is spot after a winning start. Photo: Graham Hunt
4. Centre-back - Sean Raggett
A player who the Cowleys know very well from their time at Lincoln. Photo: Nigel Keene