The forward replaced Christian Benteke and went on to score his side's only goal against the Canaries.
And Thompson was impressed, while the pundit and former Liverpoool man also feels Jordan Rossiter will start against Carlisle United in the League Cup this week.
"Ings was excellent when he came on to replace Christian Benteke at half-time," Thompson told Sky Sports.
"I'd have liked to have seen him used in that central role when he was handed his chance against United, rather than stuck out on the left. That made me feel a bit uneasy as I didn't feel like he got a fair crack on his debut."
On the Carlisle game, meanwhile, Thompson said: "I think [Jordan] Rossiter and [Jordon] Ibe will be given a start, while there's plenty of other talented players in the squad capable of helping the club compete in all of the competitions we're in this season."
What does the Carlisle game mean for Rodgers?
No matter how much just criticism Brendan Rodgers has and will continue to receive, FSG just don't appear willing to offload the struggling manager.
Right now, much of it probably has something to do with Jamie Carragher''s sensible theory, as stated on Sky Sports, that the Liverpool boss can't be sacked now - just eight or so games after being backed so heavily in the summer transfer market.
In Carragher's eyes, the Reds may as well have sacked Rodgers over the summer if they were going to do that.
But, as ever with American owners, it's about reputation. If Liverpool's reputation plummets to unfathomable depths, the Northern Irishman will surely be dismissed. One recent blow was the 6-1 loss at Stoke City. Another was the 3-0 home defeat to West Ham United. The next was a 3-1 loss in a big game at Manchester United. Could failure against Carlisle be the final straw?