I moved my website from http to https and completely changed the contents and internallinks, redeveloped the website. I also submitted sitemap. The problem is one of the old website link appears in my new website sitelinks even after I removed all the old website data
In the below image the marked careers sitelinks page was not included in my new website. it was from my old website. Now can you understand the question.
All you did was to restate the obvious with an image. No extra help at all. All I can say is that when you redid your page you inadvertantly included the link that you did not want. Since we have no way of knowing what you did (you apparently think we can read your mind), there is no way that we can point you to the source of your problem. Open up your PAGE SOURCE and look for the link. Remove the link and it will be gone.
Give it some more time. If the site is new then the search crawlers takes some time to crawl and index.