The Hammers fought hard to draw with 3-3 with West Bromwich Albion with an understrength line-up.
Nolan told whufc.com: "One thing that came through was the spirit and the unity, with everything that's going on at the minute with injuries.
"That was more like us on Saturday, on the front foot and getting in people's faces. I just feel disappointed that my goal wasn't a winner. We have to take the positives out of it again, I thought we didn't get what we deserved on Boxing Day [in losing 3-1 to Arsenal], and we didn't get it again on Saturday.
"Hopefully, the New Year will bring us new luck and for us it's going to be a good second half of the season."
For breaking stories and all the great banter like us on Facebook: facebook.com/tribalfootball