The Mariners, who snatched a half-time lead through a Nathan Jarman header, were reduced to 10 men when Danny Boshell was sent off for a second bookable offence before Bournemouth equalised through Liam Feeney.
"It will be impossible for Chester to turn it around now, bearing in mind the massive goal difference," said Newell. "But the whole Bournemouth game changed on the sending off of Dan Boshell right on the stroke of half-time.
"Dan's was a fair tackle and the Bournemouth lad had Joe Widdowson by the throat before the referee saw Joe pushing him off.
It was, of course, impossible with nine men.
"The whole dressing room is flat. The lads have given everything for the past five or six weeks. But it doesn't matter now. Chester are not going to turn it around and we will beat Macclesfield anyway."