Paper Wheels received generally positive reviews from music critics. Stephen Thomas Erlewine of AllMusic wrote, "What Anastasio achieves with Paper Wheels is tricky-- he's made a jam band record with defined hooks and songs that neither dilutes his identity or compromises it -- but he makes it seem easy." Reviewing the album for NPR, critic Tom Moon highlighted its warm, live-in-the-studio feel and cohesive band performances, noting that Paper Wheels draws heavily on early-1970s pop and rock without straightimitation. While he acknowledged occasional lyrical drift and contrived transitions, Moon concluded that the album reflects Anastasio’s growing emphasis on melody and feel over technicaldisplay. The album was nominated for a Grammy in 2017 for Best Boxed or Special Limited Edition Package.