Mr Higgins said the company should have consulted with unions before making the announcement.
It has suspended Mr Higgins, who denies wrongdoing and has vowed to clear his name.
But Mr Higgins said Mr Nicklinson also enjoyed the social life of the rugby team.
Mr Higgins recently succeeded President Mary McAleese, who last year hosted the Queen's first visit to Ireland.
In his acceptance speech, Mr Higgins said he wanted to be a president for all the people.
Speaking on Friday night, Mr Higgins said his seven-year term would be marked by inclusion, ideas and transformation.
Mr Higgins said he used to play rugby with Mr Nicklinson, who was a pupil at Cranbrook School.
In the States on Tuesday, Mr Higgins said the scheme's lawyers "appeared to be acting as judge and jury".
It is not a state visit and Mr Higgins will not be meeting any members of the Royal Family.
Mr Higgins will be inaugurated on Armistice Day, 11 November, the day after current president Mary McAleese leaves office.
Mr Higgins's suit also targets Goldman Sachs, which advised both parties in the deal, over a conflict of interest.
Mr Higgins said this was because many students wanted to earn money to help pay towards their keep at university.
Mr Higgins, 58, said the lighthouse would be a six-storey, three-bedroom eco-home at the point between Old Wells Road and Wells Road.
The agency has since reviewed its flood zone in the area, but Mr Higgins said he intended to go ahead with the idea.
Mr Higgins said his decision to still go ahead with the plans since the flood zone was altered was "a little bit political".
Instead, a period of up to three years could pass before Mr Higgins is invited to take part in a UK state visit.
Mr Higgins was elected on the fourth count with 1, 007, 104 votes.
The project - called The Sentinel - will then need to be considered by Mendip District Council, which will decide if Mr Higgins can go ahead.
Mr Higgins added that people were being referred for psychiatric assessments and some claims were being disputed "in terms of lost evidence by the police and other considerations".
Mr Higgins said that to his friends in Kent, Mr Nicklinson was known as Royals - a nickname given to him because his father was in the Royal Marines.
Mr Higgins hosted a reception at the Mansion House in Dublin on Saturday night for members of his campaign team and paid tribute to them for the huge effort they had made during the election.
In an interview for BBC Radio 4's Today programme, Mr O'Higgins rejected claims of profligacy made by Mr Pickles.
"The New York Stock Exchange has reviewed Mr. William Higgins' complaint and found that it is completely without merit, " a spokesman for the NYSE said.
Mr. O'Higgins said his lack of confidence in the economy has forced him to pare his stock allocation to about 25% of the portfolio.
Rugby club spokesman Gezz Higgins said it was Mr Nicklinson's wish that his ashes be scattered on the pitch at Cranbrook.
Higgins describes a daily routine that's part Mr. Mom, part intelligence analyst.
Immediately after Michael D Higgins was declared president at Dublin Castle, I asked Mr McGuinness if he would meet the Queen in his capacity as deputy first minister.
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