Rob Baxter admits his side never looked back after a rapid start against La Rochelle as the Exeter Chiefs juggernaut rolled on to their eighth win in all competitions.
The Cherry & Whites led 10-6 through Steve McColl's early try and the boot of James Hook before the game turned when Zebre winger David Odiete was sent off for taking out McColl in the air.
The visitors made the most of the man advantage after the interval as Henry Purdy, Charlie Sharples and Ben Morgan all crossed over to secure the bonus point.
And although the Italians grabbed two tries late on through Giovanbattista Venditt and Dries van Schalkwyk, director of rugby David Humphreys insists his side have exceeded their European targets so far.
He said: "We played so well for 60 minutes, we knew we had the bonus point, we felt we had the game won and then maybe subconsciously we relaxed and allowed Zebre to come back into it.
"One of the targets we'd set ourselves was, by this stage, to be top of the pool. We are, having got three bonus point wins. We're very much in control of getting a home quarter final."
At the Madejski, London Irish ended Cardiff Blues’ unbeaten European record this season to move to the top of their pool – in most part due to the boot of Tom Homer.
Andrew Fenby scored a double and Shane Geraghty charged down Gareth Anscombe's clearance to dot down under the posts, but Homer’s 19 points from the tee was crucial in their 34-23 win.
But Juan Pablo Socino, Simon Hammersley and Mark Wilson replied for the Falcons and after watching his side put on a show, director of rugby Dean Richards had plenty to be positive about.
"Stade Francais are third in the French Top 14 with a budget of 30-odd million, they strengthened their side for this game and that is a boost in the sense that they obviously respect us," said Richards, whose team suffered their first defeat in Europe this year.
"To all intents and purposes we could certainly have got a draw out of it, and maybe even a little bit more.
"There is no doubt about the fact that Stade Francais know they have been in a battle, and there were a few bruised and battered bodies out there. The boys put a huge amount of effort in, and a little more accuracy in certain areas might have made the difference."
Tries: Venditti, van Schalkwyk
Penalties: Orquera 2
Tries: McColl, Purdy, Sharples, Morgan
Conversions: Hook 3
Penalties: Hook, Burns
Exeter Chiefs 41 La Rochelle 17
Tries: Horstmann, Bateman, Vainikolo, Penalty, James, Hughes
Conversions: Sweeney 4
Tries: Berger, Cestaro
Conversions: Fortassin, Barraque
London Irish 34 Cardiff Blues 23
Tries: Fenby 2, Geraghty
Conversions: Homer 2
Penalties: Homer 5
Tries: Allen, Anscombe
Penalties: Anscombe 3
Tries: Inu, Camara, Williams, Penalty, Bonfils
Conversions: M. Steyn 3
Tries: Socino, Hammersley, M. Wilson
Conversions: Clegg 3