There he worked as a lumberjack briefly before joining a Swedish jazz band as a replacement for a sick drummer.
This led to time spent touring and/or recording with Thore Jederby (1948–50), Nisse Skoog (1948), Seymour Österwall (1949), Arne Domnérus and Rolf Ericson (1950–52), and Lars Gullin (1951–53).
In addition to playing with Swedish musicians and ensembles such as Reinhold Svensson (1949), Gösta Törner (1949), Swede Starband (1950), Expressens Elitorkester (1950, 1952), Leonard Feather's Swinging Swedes (1951) Bengt Hallberg (1952), Putte Wickman (1952), Åke Persson, and the Scandia All Stars (1953).
Noren's reputation in Sweden was such that he was frequently called upon by visiting American musicians, such as James Moody (1949, 1951), Charlie Parker (1950), Zoot Sims (1950), Stan Getz (1951), Lee Konitz (1951), Clifford Brown (1953), and George Wallington (1953).
In 1960 he went once more to Sweden, playing with Monica Zetterlund (1960) and Nisse Sandström; he also recorded with the radio band of Harry Arnold.