Wheeler was part of Wednesday's aborted deal to acquire Carlos Gomez from Milwaukee. He then had to wait until after Friday's 4 p.m. deadline to find out he was not in the deal that brought Yoenis Cespedes from Detroit to New York.
"I was gone at one point," Wheeler told reporters in Miami, where he joined the team while taking a break from his rehab from Tommy John surgery in St. Lucie. "To have that fall through was sort of a good thing for me, I guess you could say. I'm still happy to be a part of this team."
Both Wheeler, 25, and his agent spoke to Sandy Alderson Friday indicating his desire to remain a Met.
"The last day, after I got done at the field, probably about 12, (my agent) was like, 'You know, it might be a good idea just for you to call him and let him hear your voice and let him know how you feel, coming from you. I decided to go ahead and do that. I don't know if it necessarily worked out. At least he knows how I feel now.
"I'm happy to be part of this organization still. We're moving in the right way, obviously. It's been a lot of fun to watch this year. I wish I could be up here and pitch with these guys and play with them. An unfortunate thing happened. It's fun watching at least."
Tuesday, he'll throw for a second straight day for the first time since the surgery. It was only last week that he threw fo for the first time overall as he aims to return to the majors by midseason in 2016.
"I guess it's a good thing that people still want me when I've thrown maybe three times after Tommy John surgery," Wheeler said. "That's always cool to put in the back of your head -- people still want you. But at the end of the day, I wanted to stay a New York Met and play with these guys.
"I understand it's a business. Sandy has got a job to do to make this team as good as he can. But I've been with this organization through some of the growing pains. I like what Sandy has done here. I want to be a part of it because we're about to be good this year and next year and the years after that."