"A lot of people say I should give up and retire," Parker said.
"I'm only 26 and I've only lost twice — It's not the end of the world. I'm still learning. You look at the champions — I'm not trying to compare — but they were great fighters and [Wladimir] Klitschko lost three times, Lennox [Lewis] lost three times, and were knocked out in their fights. No one told them to retire.
"Everyone's entitled to their opinion but I think everyone should get behind us and support us".
Dereck Chisora, a heavyweight rival, doubts Parker will be back.
Following the defeat to Whyte, the Englishman said he didn't think the Kiwi had the hunger to keep training after making many millions of dollars in his last two defeats.
"He's a fighter but when he chucks his jab his hands are down. He was not motivated for this fight. I think when he made money from the AJ fight he forgot boxing, basically. He wasn't the same guy.
"The things he did in the AJ fight he didn't do in there. He was in great shape but he didn't have it. Parker won't be fighting again."
Last week former Duco boss Martin Snedden urged Parker to retire while he is still in good health.
Snedden – who stepped down from his role with Duco after Parker's historic WBO championship fight against Andy Ruiz in 2016 – said Parker would be wise to retire, especially after getting hurt several times in the fight against Whyte.
"Personally, I think he'd be really wise to retire right now," Snedden told The AM Show.
"I think he's done a wonderful job with his career, but as soon as you start getting hit, the risk of ongoing brain problems really escalates.
"He's done really well so far and he's looked after his money, so he's well set up - he's an intelligent young kid.
"He has the capability of going on and doing a second career somewhere. He's got two young kids now."