Wasps finished seventh in the Guinness Premiership table and were disappointing in the Heineken Cup, while Cipriani was also involved in a training ground bust-up with team-mate Josh Lewsey.
Despite missing out on the summer Test series against Argentina, Cipriani can show off his skills as the Saxons squad defend their Churchill Cup crown in Denver, Colorado, with the first game against Argentina Jaguars on 6 June.
"It should be a successful tour. I've just got to go out and do all the things (Martin Johnson) wants me to do," Cipriani told BBC Radio 5 Live.
"If I do all that then hopefully I can push my way into the England side and he will see that I'm ready to put on the England shirt."
In the injury-enforced absence of Jonny Wilkinson and Toby Flood, uncapped Leicester fly-half Sam Vesty and Brive's Andy Goode were selected ahead of Cipriani for the senior squad.
He also had to endure being overlooked for the entire Six Nations campaign.
"It's a massive inspiration to get up that ranking," he added. "I've got that burning desire do get to the top level in rugby and represent my country again."
Johnson explains Cipriani omission
Having delayed an operation to remove a metal pin from his ankle after suffering a fractured dislocation a year ago, Cipriani is hoping his fortune can soon turn around.
"Training and working hard has always been one of my positives and something I've strived on," he said.
"I'm just looking forward to a clean slate - playing with the Saxons, getting my pin out, putting a line under the season and then next season I can come back as a completely different player."
Still on the stand-by list for the Lions tour in South Africa, with fly-halves Stephen Jones and Ronan O'Gara in the squad, Cipriani said: "You don't want to wish injury upon anybody but that's why I'm keeping myself fit and ready for the Saxons."
England play the Barbarians at Twickenham on 30 May, Argentina at Old Trafford on 6 June followed by a return Test in Salta a week later.
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