The Hammers remain on 30 points, just six above the bottom three with a tough away match at Stoke this weekend.
"We worked so hard, it was so disappointing but they're a top side," said Cole after defeat to Tottenham.
"Onwards and upwards, though, we'll stick together and take the positives out of the performance. It's important to go to Stoke and not get beat.
"We have to stick together - we have a lot of experienced players and we will be alright."