The 41-year-old took over Martin Jol last December and took Ajax to their 30th domestic title last season.
Although De Boer wore the Catalan's colours from 1998 to 2003, he claimed he would not be interested to return to the Nou Camp just yet.
"Would I like to remain with Ajax for the next ten years? That would be great," De Boer said to Voetbal International.
"Of course there are bad moments as well. When we lose points or when I get the feeling that I'm losing control. But the good moments easily outweigh the bad ones.
"Even if Barcelona were to approach me tomorrow, I would not go. I'm not finished here. I'm home and my family loves it in the Netherlands, they do not feel the need to move again."
Ajax are currently fourth in the Dutch Eredivisie, six points off the top of the table.