Who offers Denny the opportunity to pursue his dream job in Italy?

The correct answer is Luca Patoni, who plays a pivotal role in Denny's career development within the story. He is a significant character that serves as a mentor to Denny and recognizes his talent as a race car driver. By offering Denny the chance to pursue his dream job in Italy, Luca demonstrates his belief in Denny's abilities and potential for success in the racing world. This opportunity is crucial for Denny, reflecting themes of aspiration and the pursuit of one's dreams throughout "The Art of Racing in the Rain."

The other characters listed may have important roles in Denny's life, but they do not provide him with the same opportunity to advance his career in racing, making Luca's offer central to Denny's journey and growth in the narrative.