In a nerve-stricken performance, Boreham Wood struggled to create anything at a quiet Meadow Park.
The Silkmen had the game's best chances, as Chris Holroyd tested Boreham Wood's James Russell before Kristian Dennis fired wide.
Harry White had the Wood's best chance, shooting over the bar as neither side could break the deadlock.
Boreham Wood's 0-0 draw at home to Macclesfield saw them fall into the National League relegation zone.