Coleman senior died in 2014 after his son's first campaign in charge of Wales had ended with the failure to qualify for the World Cup in Brazil.
"I probably helped to put him where he is now," Coleman said before Wales meet Belgium in Lille on Friday evening.
"He loved football and would have loved this. He would have been ecstatic."
Coleman, 46, went on to lead Wales to a first major international tournament for 58 years and even surpassed rivals England in reaching the quarter-final stages of Euro 2016.
"My dad was a huge football fan and unfortunately he witnessed the first campaign," Coleman continued.
After his playing career was cut short by injury, Coleman was appointed Fulham manager in April 2003 and kept the Cottagers in the Premier League in his debut season.
"If you manage your country it is different to managing a club. Your family feel it much more," he added.
"Not getting a result, they feel it. They do. It is a tough one. Equally when it is going great, they are on cloud nine - and at the moment they are loving it."

Temporary closure notices were placed on the shellfish beds after high E.coli bacteria readings last week.
Latest tests have showed satisfactory water quality levels, said the FSA.
Closures remain in place in Devon at Slapton, Taw and Torridge and in Jersey.
An FSA spokesman said: "Recent tests have shown high levels of E.coli contamination in 30 shellfish beds in Cornwall and Devon.
"However, a number of factors have led us to question circumstances which may have led to these unusual results, including the unprecedented nature of the results, the lack of a clear cause and the fact that other testing does not support the view that there is an obvious risk to public health.
"Because of this, the FSA will not follow its normal protocol and in this case will allow the closed shellfish beds to re-open as long as there is one further test that shows the bed has E coli within accepted tolerance levels."

Clive Weatherhogg set up meetings between the woman and a man he found through an adult website, and filmed them having sex.
A court heard he sent a message containing a sexually explicit clip to the victim's sister on Christmas Day.
Weatherhogg, 42, was also placed on the sex offenders register.
He had denied the charges but was found guilty following a trial at Dundee Sheriff Court.
Sheriff George Way remitted the case to the High Court in Edinburgh to be dealt with because its greater sentencing powers.
Weatherhogg, formerly of Guthrie, near Forfar, was found guilty of coercing the woman to engage in sexual activity and intercourse with the man between 10 September, 2013 and 17 September the following year.
He was also convicted of intentionally causing the woman's sister and father to look at sexual images and behaving in a threatening or abusive manner on 25 December, 2014.
The woman told the trial she had felt "blackmailed" by Weatherhogg.
Lady Wolffe told the Weatherhogg that she had to pass a sentence on him that "reflected society's abhorrence" at such conduct.
The judge said that Weatherhogg, a first offender, had been assessed as posing "a moderate risk" of sexual re-offending.
Defence counsel Jonathan Crowe said it had been "a dramatic shock" for Weatherhogg to be placed on remand ahead of sentencing.
Chris Coleman wishes his father Paddy was alive to see Wales reach the quarter-finals of the European Championships.
[NEXT_CONCEPT]
Shellfish farms on the Helford River and Camel Estuary in Cornwall have re-opened after pollution closure notices were lifted by the Food Standards Agency (FSA).
[NEXT_CONCEPT]
A man who coerced a woman into having sex with a stranger before sending "revenge porn" to her family has been jailed for six years.