Norwich are still searching for their first Barclays Premier League win after West Ham battled to a 0-0 draw at Carrow Road.
Chris Hughton's men enjoyed the better of the first half, and felt they should have been awarded a penalty when James Collins upended Andrew Surman, but referee Chris Foy correctly ruled the challenge was just outside the area.
West Ham also had their chances, with Carlton Cole's early chance blocked and John Ruddy saving from Kevin Nolan.
West Ham made the first clear opening after 13 minutes when Ricardo Vaz Te got away down the right and his cross was headed goalwards by Cole, but Russell Martin knocked it off the line, with Matt Taylor lashing the loose rebound wide.
Kevin Nolan then almost put his side ahead when he got on the end of Joey O'Brien's cross after the full-back's strong run down the Norwich left, but England keeper John Ruddy made a smart reaction save.
West Ham then produced a series of blocks and saves by Jussi Jaaskelainen from the resulting corner to turn away successive efforts from Snodgrass, Sebastien Bassong, Grant Holt and Andrew Surman.
Four minutes before half-time Surman was upended by Collins as he darted into the penalty box, but the Merseyside official Foy correctly ruled the clumsy challenge had taken place just inches outside the line.
Snodgrass was just off target with a low effort, and Bradley Johnson shot straight at the keeper before at the other end Matt Jarvis, the recent signing from Wolves, had his shot blocked after a quick break into the Norwich half following a poor throw-in.
Then in stoppage time, Harry Kane was played in on the overlap after a quick break, but struck a tame effort straight at the goalkeeper.
|12 Jan 2013||v Newcastle (H)|
|02 Feb 2013||v QPR (A)|
|01 Jan 2013||v West Ham (A)|
|02 Dec 2012||v Sunderland (H)|
|22 Dec 2012||v West Brom (A)|
|17 Mar 2013||v Sunderland (A)|