Distin believes there are a lot of positive signs after a clash with the Baggies which saw Everton control proceedings for long periods.
They had their chances to emerge victorious but Marouane Fellaini was denied by the post and Ben Foster was in good form in goal for West Brom.
"It is frustrating because maybe we had one or two chances that we could have finished," said defender Distin.
"In the first half we found it difficult but in the second half we did much better.
"We are in that stage at the moment where we are adapting to a new style of play, and there are some really good signs."
Martinez stressed after the match that there had been no loss of focus in the Everton camp despite ongoing transfer speculation surrounding Fellaini and Leighton Baines.
Distin echoed his manager's view and insisted the players were not fretting about whether the duo would join Manchester United.
He said: "We know that no matter what they will play and do their best for the team. If it is time for them to go, it is time for them to go.
"There is no point to be anxious about it."