Speaking in Parliament, Mr Brickell criticised Conservative calls to scrap the tax, arguing the move would primarily benefit the wealthiest estates while reducing money available for public services.
The Labour MP said very few families in his constituency would be affected by inheritance tax under the current system.
He told the House of Commons: “At the last general election, fewer than one per cent of estates in my Bolton West constituency were expected to fall within the inheritance tax threshold.
“So I have to ask, on behalf of my hard-working constituents, who exactly are the official opposition speaking to with this proposal?”
Inheritance tax is currently charged on estates above certain thresholds, with exemptions and reliefs available in some circumstances.
Mr Brickell argued that abolishing the tax in its entirety would primarily benefit the wealthiest estates while creating a significant gap in public finances.
He said: “The Conservatives are proposing to abolish a progressive redistributive tax in its entirety at a potential cost of £10.8 billion a year to benefit a small minority of the very wealthiest estates.”
The MP stressed that he supported people being able to pass wealth and assets on to their children but questioned whether scrapping inheritance tax should be a national priority.
He said: “I have no objection to people wanting to pass something on to their children.
“It is a natural and valuable part of being a parent.
“But the question before us today is not whether families should be able to pass on their hard-earned assets fairly.
“It is whether the right priority for this country is to abolish inheritance tax altogether, regardless of the cost.”
During the debate, Mr Brickell repeatedly linked the proposal to everyday financial pressures facing residents across his constituency.
He said the policy would not help “the small business owner struggling with rising costs in Westhoughton“, “the single mum in Horwich“, “the pensioner in Blackrod worried about energy bills” or “the young person in Bolton trying to get on the first rung of the housing ladder”.
Posting after the debate, Mr Brickell described the proposal as “despicable” and said the threshold was “rightly set so the very wealthiest pay their fair share”.
He added: “As usual, this is socialism for the rich, and cuts for everyone else.”