There had been reports that Aguero had failed to deliver in the second season and, much like former manager Roberto Mancini, could be offloaded in a bid to make way for another marquee signing.
The rumours came in the wave of the Italian's exit with managerial favourite Manuel Pellegrini reportedly interested in bringing his own players before inking a contract to take over the Etihad helm.
A list of star-studded names including Borussia Dortmund's Robert Lewandowski, Napoli's Edinson Cavani and Malaga's Isco have been mentioned by British newspapers in what is expected to be a busy transfer window for the Citizens in the coming months.
However, Soriano rebuffed suggestions that Aguero's name had been bandied about to other clubs in Europe.
He said: "This has gone on and on and on."
"We have had discussions with Sergio and his agent about several things and he has never expressed the willingness to go.
"We have never had an offer and even if we had an offer we would say no."
Gareth Barry and Carlos Tevez, both now entering the final year of their contracts, could also be offered new deals.
Soriano said: "They are obviously two very good players and the discussions are going to take place."
The next manager is likely to be given new players this summer but Soriano also pointed out that director of football Txiki Begiristain will likely be the prime mover in identifying them.
"The director of football has, and has to have, a long-term view.
"So what we are asking him to do is build a squad, but also football concepts, and a way of working that will last for the next 10 years. The manager has a shorter span."
When asked if new signings were imminent, Soriano said: "We are at the closing phase with several of them but the closing phase can take one week or three months."
Mancini often cited a failure to land his prime transfer targets last summer as one of the chief reasons for the team's lack of development.
Soriano admitted such complaints were not helpful in the preceding season.
He said: "What we want is not the image of unity - we want the unity.
"Everybody has his personality and his style and there are some cultural issues here.
"We were not very worried about this public criticism. It is something we don't like but we are not going to hide.
"If somebody wants to criticise, it is their problem.
"What we do want to say is that none of the criticisms out there were, in my mind, real."