Sky Sports presenter Stelling was left angry with the decision to film pundit Shearer inside the Spartans dressing room prior to kick-off.
Hartlepool-born Stelling said: “This is not a rant and I am not bitter in anyway.
“Well done to Blyth Spartans, they were the second best side clearly on the night but well done to them.
“That happens in cup football. I wish them well.
“The referee? He had a good game apart from not spotting the ball was 18-inches over the line for a goal he disallowed but apart from that he had a good game so well done to him.
“I’m not bitter with him at all.
“But I tell you what, the BBC, there are licence payers in Hartlepool and it was completely unacceptable to have Alan Shearer in the Blyth Spartans dressing room before the game saying their will be heroes this evening on that pitch make sure it is one of you in the Green and White.
“Unacceptable. BBC hang your head in shame.
“I’m not bitter.”
Dan Walker
Walker tweeted from his @mrdanwalker account: “Worth pointing out that we requested exactly the same access to Hartlepool as Blyth. H understandably said ‘no’ B said ‘yes’ #FACup
“Culture is 2 close doors 2 the media. Warrington & Blyth opened them & that benefited the coverage. Exeter & H’pool entitled to decline.
“As Shearer joked on Fri “Are u sure you want me? We all know what happened at Newcastle!”
“He’d have done both teams if wanted #facup”