Americans Steve Kaplan and Jason Levien are in talks about taking a "controlling interest" in the club.
Guidolin, 60, has led Swansea to Premier League safety since joining in January, but his contract expires at the end of the season.
"We spoke about the future. Nothing is decided," said Italian Guidolin.
"We spoke about the team, the players, many things, but not about the takeover. I don't know what [impact] it will have.
"I confirmed to him I would prefer to stay here if possible. Now I'm waiting for his decision, but I'm happy."
Swansea reached the 40-point mark synonymous with Premier League survival by beating Chelsea 1-0 on Saturday, although the prospect of American investment has since dominated the agenda at the Liberty Stadium.
Jenkins and vice-chairman Leigh Dineen will stay on at Swansea in an executive capacity if the takeover goes through.
Jenkins has said a deal would not affect Swansea's managerial plans.
Garry Monk was sacked as head coach in December and, after Alan Curtis' temporary spell in charge, Guidolin was appointed.
The former Udinese manager said: "This is not my job. It is difficult for me to say something about this situation.
"This is an important club for me. I like the kindness of the people, the Premier League; my wife and family is happy.
"But I don't know if my future is here or another part of the world. I don't know anything about the agreements."

Bruno, who has not fought since being knocked out by Mike Tyson in 1996, has been suffering with bipolar disorder in recent years.
However, he told ITV's This Morning: "I've been in the gym all the time, that's why I want to come back into boxing."
Asked if it was a good idea, Bruno replied: "I haven't got a choice."
Bruno, who made his professional debut in 1982, says he returned to the gym to burn off energy and does not like to be "mugged off" when challenged by younger boxers.
"I can't sit down and let these so-called promoters say Anthony Joshua can knock me out in two rounds when I'm not even dead," Bruno added.
However, Bruno later said that his agent had been told by the British Boxing Board of Control that it would not accept his application for a licence.

Powys-Llewellyn Cook, 21, from Grantham, died following the collision on the B1176 in Bitchfield, between Grantham and Corby Glen, on Tuesday.
Lincolnshire Police described it as a "tragic loss of life" and are appealing for anyone who witnessed the crash to get in touch.
Mr Cook was riding a blue and white motorbike at the time of the accident.

Thomas Morris, 31, was discovered in his cell at HMP Woodhill, near Milton Keynes, in June 2016.
An inquest has heard how he sought mental health care before his death.
Nicola Marfleet, acting governor, told the hearing: "I accept management checks had failed on different levels. I am responsible, I will always accept that."
The inquest has previously heard how Mr Morris was moved to a single cell after throwing his television on to a landing.
Asked whether Mr Morris might still be alive had he not been moved to a solo cell, Ms Marfleet said: "In hindsight that may have saved his life, but maybe leaving him where he was would have caused harm.
"One individual throwing a TV onto a landing narrowly missing an inmate could be the thing that tips the wing into us losing control.
"My duty is to care for each prisoner. A decision is not made in isolation."
She told how the jail had a staff "deficit", meaning there is "a regular trickle of resignations which means we are routinely short of officers".
The inquest continues.
Swansea boss Francesco Guidolin has discussed his future with chairman Huw Jenkins, but does not know if the potential takeover will affect his job.
[NEXT_CONCEPT]
British former world heavyweight champion Frank Bruno wants to return to the ring at the age of 54.
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A motorcyclist killed in a crash with a lorry has been named by police.
[NEXT_CONCEPT]
The governor of a prison where an inmate was found hanged in his cell has admitted "checks failed".