The first outlet is expected to open in central London early next year.
The concept is the brainchild of Corrado Accardi, an engineer from Sardinia, and was developed with the help of friends and colleagues at the School, where Mr Accardi did an Executive MBA.
Mr Accardi said: "We are proud of our relationship with Crowdcube. The nominations we received for the awards are a recognition of our hard work and record-breaking campaign. We are very grateful for the support of the London Business School community."
Mr Accardi has already won the School's annual business plan competition, having secured £440,000 in funding for his venture, and was a runner-up in the European Business Plan of the Year finals in June.
Pizza Rossa has also been nominated for Crowdcube's People's Choice Award, in which the public are given the chance to vote for their favourite new start-up idea. To vote for Corrado please click here.
Voting will close on 3 January and the winners will be announced on 7 January.