Carroll netted seven goals for the Hammers during an injury-plagued loan spell at Upton Park from Liverpool, but the England international showed signs of returning to form towards the end of the season.
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"It will be massive if we do get Andy, but it is not the be all and end all," he told Sky Sports.
"I have been with Sam a long time. When he did not manage to get his first man, he has always managed to get his second man and we always manage to do well.
"If he gets the chance to bring the quality of the players he wants, then I am sure we will be aiming for the higher echelons of the Premier League.
Nolan, who scored a hat-trick in West Ham’s 4-2 win over Reading on the final day of the season, also admits any deal will also be up to Carroll, who may have ambitions of playing in Europe.
"Andy is a clever lad, he knows he has got to play football," he added. "If he gets [an offer from a club] in the Champions League or the Europa League, then he has got to make the decision.
"I know he has enjoyed his time here, you can see that on the pitch, he gets on well with all the lads, so we will see what happens."