That was always my argument & proof text against Limited Atonement.
As far as the text is concerned (in John 10) it fits in well with:
Believe on the Lord Jesus Christ and thou shalt be saved,
For whosoever shall call upon the name of the Lord shalt be saved.
To him give all the prophets witness, that through his name whosoever believeth in him shall receive remission of sins. (Acts 10:43)
Neither is there salvation in any other: for there is none other name under heaven given among men, whereby we must be saved. (Acts 4:12)
But as many as received him, to them gave he power to become the sons of God, even to them that believe on his name: (John 1:12)
Verily, verily, I say unto you, He that heareth my word, and believeth on him that sent me, hath everlasting life, and shall not come into condemnation; but is passed from death unto life. (John 5:24)
and many, many others.