Recently, Ms Ellman had warned that government "intimidation" could prevent coastguards from speaking out.
Mr McLoughlin faced questions on Monday from the House of Commons transport committee, chaired by Louise Ellman.
Louise Ellman won this inner city constituency in the 1997 General Election with 70.4% of the vote.
BBC: NEWS | VOTE 2001 | RESULTS & CONSTITUENCIES | Liverpool Riverside
Liverpool Riverside MP Louise Ellman also backed the scheme, which is predicted to attract 500, 000 visitors each year.
Ellman should make several million dollars a year from hosting nonhockey events at the arena and from selling food and beverages.
He will write to committee chairman Louise Ellman to ask for the inquiry.
He told Ms Ellman that he had instructed regular coastguards to decline the committee's invitation to give oral evidence.
Liverpool Riverside MP Louise Ellman, who took part in the Commons debate, said it was a significant step forward.
Ms Ellman is a nice lady with piercing green eyes, and no illusion.
The motion, tabled by Transport Committee chair Louise Ellman, was debated on backbench business time on 8 November 2011.
Like Anschutz, Coyotes owner Steven Ellman is trying to leverage his new hockey arena and team into a real estate bonanza.
Mrs Ellman also expressed disappointment that shipping minister Mike Penning had "instructed regular coastguards not to give evidence to the committee".
Louise Ellman, in Liverpool Riverside, which includes poor and volatile Toxteth, 22, 000.
Louise Ellman, who chairs the House of Commons transport committee, has written to Transport Secretary Justine Greening asking her to delay signing the contract.
The plans, which would create 800 jobs, have been backed by senior political figures including city mayor Joe Anderson and Liverpool Riverside MP Louise Ellman.
Ms Ellman's constituency on Merseyside is served by the rail line.
Lisa Ellman is Chief Counselor for the Open Government Partnership and Senior Advisor to the Chief Technology Officer and Nick Sinai is Deputy Chief Technology Officer.
Now committee member and Labour MP Louise Ellman has warned Lord Birt that he could receive "a knock on the door" if he fails to give evidence.
Labour MP and chair of the Commons transport committee Louise Ellman said the legislation was "about backing the UK haulage industry and helping create a level playing field".
Louise Ellman, the Labour MP who chairs the committee, said the issue was "difficult", but she and her colleagues wanted to weigh up all the arguments about the best way forward.
On questioning by the committee chair Louise Ellman he said that the future of the free bus pass for over 60s would remain, but didn't rule out changes on age eligibility.
Ellman, who has hockey legend Wayne Gretzky as a partner, is developing Westgate, 223 acres of freeway frontage near the new hockey building that will house cinemas, shops, hotels, offices and condos.
Proceedings are rounded off by two ministers from the Department for Transport, Mike Penning (who has had some sulphurous rows with the Committee Chair Louise Ellman) and Jonathan Djanogly from the Ministry of Justice.
BBC: Viewing guide: The coming week's highlights in Parliament
Lester Ellman, of the British Dental Association, welcomed the fact that extra dentists had been recruited to work in the NHS, but said quick fix solutions would not solve the manpower shortage in the longer term.
"It is not in order for witnesses, including ministers, to make statements to the media about what they are going to say to select committees before they have actually arrived, " said committee chairman, Labour MP Louise Ellman.
Committee chairman Louise Ellman said there was little support for the proposals and the committee had no confidence that they would allow the coastguard service to perform as well as or more effectively than it does now.
Ms Ellman said that during the meetings in Falmouth coastguards who were union representatives were being allowed by the Maritime and Coastguard Agency to give oral evidence to the committee in their union capacity, but not as individuals.
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